因式分解的题，求答案！ 因式分解练习题及答案
\u56e0\u5f0f\u5206\u89e3\u7ec3\u4e60\u9898\u53ca\u7b54\u6848\uff0c\u6c42\uff01\uff01\uff01140\uff0em2(p-q)-p+q
141\uff0e(2m+3n)(2m-n)-4n(2m-n)\uff0e
142\uff0e(x+2y)2-x2-2xy\uff0e
143\uff0ea(ab+bc+ac)-abc\uff0e
144\uff0eab-a-b+1\uff0e
145\uff0exyz-xy-xz+x-yz+y+z-1\uff0e
146\uff0ex4-2y4-2x3y+xy3\uff0e
148\uff0eabc(a2+b2+c2)-a3bc+2ab2c2\uff0e
149\uff0e(a-b-c)(a+b-c)-(b-c-a)(b+c-a)\uff0e
150\uff0ea2(b-c)+b2(c-a)+c2(a-b)\uff0e
a(a+b)(a-b)-a(a+b)2\uff0e
152\uff0e(x2-2x)2+2x(x-2)+1\uff0e
153\uff0e2acd-c2a-ad2\uff0e
154\uff0e(x-y)2+12(y-x)z+36z2\uff0e
156\uff0ex2-4ax+8ab-4b2\uff0e
157\uff0ea2b2+c2d2-2abcd+2ab-2cd+1\uff0e
158\uff0e(ax+by)2+(ay-bx)2+2(ax+by)(ay-bx)\uff0e
160\uff0e(1-a2)(1-b2)-(a2-1)2(b2-1)2\uff0e
161\uff0e3x4-48y4\uff0e
162\uff0e(x+1)2-9(x-1)2\uff0e
163\uff0e(x2+pq)2-(p+q)2x2\uff0e
164\uff0e(1+2xy)2-(x2+y2)2\uff0e
165\uff0e4a2b2-(a2+b2)2\uff0e
166\uff0e4a2b2-(a2+b2-c2)2\uff0e
167\uff0e(c2-a2-b2)2-4a2b2\uff0e
168\uff0e(x2-b2+y2-a2)2-4(ab-xy)2\uff0e
169\uff0e64a4(x+1)2-49b4(x+1)4\uff0e
170\uff0eab2-ac2+4ac-4a\uff0e
171\uff0e4a2-c2+6ab+3bc\uff0e
172\uff0ex3n+y3n\uff0e
174\uff0e(x+y)3+125\uff0e
176\uff0e(m-n)6-(m+n)6\uff0e
177\uff0e(x+1)6-(x-1)6\uff0e
178\uff0ea12-b12\uff0e
179\uff0e(z-x)3-(y+z)3\uff0e
180\uff0e(3m-2n)3+(3m+2n)3\uff0e
181\uff0ex6(x2-y2)+y6(y2-x2)\uff0e
182\uff0e8(x+y)3+1\uff0e
183\uff0e(a-1)3-(b+1)3\uff0e
184\uff0e(a+b+c)3-a3-b3-c3\uff0e
185\uff0ex2+4xy+3y2\uff0e
186\uff0ex2y2-18xy+65\uff0e
187\uff0ex2+18x-144\uff0e
188\uff0ex2+30x+144\uff0e
189\uff0ex4+2x2-8\uff0e
190\uff0e3x4+6x2-9\uff0e
191\uff0e-m4+18m2-17\uff0e
192\uff0e3x4-7x2y2-20y4\uff0e
193\uff0ex5-2x3-8x\uff0e
194\uff0ea3-5a2b-300ab2\uff0e
195\uff0ex8+19x5-216x2\uff0e
196\uff0e6a4n+k-a2n+k-35ak\uff0e
199\uff0e30x2+8xy-182y2\uff0e
200\uff0em4+14m2-15\uff0e
140\uff0e\uff08p-q\uff09\uff08m-1\uff09\uff08m+1\uff09\uff0e
141\uff0e\uff082m-n\uff092\uff0e
142\uff0e2y\uff08x+2y\uff09\uff0e
143\uff0ea2\uff08b+c\uff09\uff0e
144\uff0e\uff08b-1\uff09\uff08a-1\uff09\uff0e
145\uff0e\uff08x-1\uff09\uff08y-1\uff09\uff08z-1\uff09\uff0e
\u63d0\u793a\uff1a\u65b9\u6cd5\u4e00 \u539f\u5f0f=x\uff08yz-y-z+1\uff09-\uff08yz-y-z+1\uff09
=\uff08yz-y-z+1\uff09\uff08x-1\uff09
=[y\uff08z-1\uff09-\uff08z-1\uff09]\uff08x-1\uff09
=\uff08x-1\uff09\uff08y-1\uff09\uff08z-1\uff09\uff0e
\u65b9\u6cd5\u4e8c \u539f\u5f0f=xy\uff08z-1\uff09-x\uff08z-1\uff09-y\uff08z-1\uff09+\uff08z-1\uff09
=\uff08xy-x-y+1\uff09\uff08z-1\uff09
=[x\uff08y-1\uff09-\uff08y-1\uff09]\uff08z-1\uff09
=\uff08x-1\uff09\uff08y-1\uff09\uff08z-1\uff09\uff0e
146\uff0e\uff08x-2y\uff09\uff08x+y\uff09\uff08x2-xy+y2\uff09\uff0e
\u63d0\u793a\uff1a\u65b9\u6cd5\u4e00 \u539f\u5f0f=x\uff08x3+y3\uff09-2y\uff08x3+y3\uff09
=\uff08x3+y3\uff09\uff08x-2y\uff09
=\uff08x-2y\uff09\uff08x+y\uff09\uff08x2-xy+y2\uff09\uff0e
\u65b9\u6cd5\u4e8c \u539f\u5f0f=x3\uff08x-2y\uff09+y3\uff08x-2y\uff09
=\uff08x-2y\uff09\uff08x3+y3\uff09
=\uff08x-2y\uff09\uff08x+y\uff09\uff08x2-xy+y2\uff09\uff0e
148\uff0eabc\uff08b+c\uff092\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=abc\uff08a2+b2+c2-a2+2bc\uff09\uff0e
149\uff0e2\uff08b-c\uff09\uff08a-b-c\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08a-b-c\uff09\uff08a+b-c\uff09+\uff08a-b-c\uff09\uff08b-c-a\uff09
=\uff08a-b-c\uff09[\uff08a+b-c\uff09+\uff08b-c-a\uff09]
=2\uff08b-c\uff09\uff08a-b-c\uff09\uff0e
150\uff0e\uff08a-b\uff09\uff08b-c\uff09\uff08a-c\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=a2b-a2c+b2c-ab2+c2\uff08a-b\uff09
=\uff08a2b-ab2\uff09-\uff08a2c-b2c\uff09+c2\uff08a-b\uff09
=ab\uff08a-b\uff09-c\uff08a2-b2\uff09+c2\uff08a-b\uff09
=\uff08a-b\uff09[ab-c\uff08a+b\uff09+c2]
=\uff08a-b\uff09[a\uff08b-c\uff09-c\uff08b-c\uff09]
=\uff08a-b\uff09\uff08b-c\uff09\uff08a-c\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=a\uff08a+b\uff09[a-b-\uff08a+b\uff09]=a\uff08a+b\uff09\uff08-2b\uff09
=-2ab\uff08a+b\uff09\uff1b
152\uff0e\uff08x-1\uff094\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[x\uff08x-2\uff09]2+2•x\uff08x-2\uff09+12
=[x\uff08x-2\uff09+1]2=\uff08x2-2x+1\uff092
=\uff08x-1\uff094\uff0e
153\uff0e-a\uff08c-d\uff092\uff0e
154\uff0e\uff08x-y-6z\uff092\uff0e
156\uff0e\uff08x-2b\uff09\uff08x-4a+2b\uff09\uff0e
157\uff0e\uff08ab-cd+1\uff092\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08a2b2-2abcd+c2d2\uff09+2\uff08ab-cd\uff09+1
=\uff08ab-cd\uff092+2\uff08ab-cd\uff09+1
=\uff08ab-cd+1\uff092\uff0e
158\uff0e\uff08ax+by+ay-bx\uff092\uff0e
160\uff0e\uff081+a\uff09\uff081-a\uff09\uff081+b\uff09\uff081-b\uff09\uff08a2+b2-a2b2\uff09\uff0e
161\uff0e3\uff08x2+4y2\uff09\uff08x+2y\uff09\uff08x-2y\uff09\uff0e
162\uff0e4\uff082x-1\uff09\uff082-x\uff09\uff0e
163\uff0e\uff08x2+px+qx+pq\uff09\uff08x2-px-qx+pq\uff09\uff0e
164\uff0e\uff081+x-y\uff09\uff081-x+y\uff09\uff08x2+y2+2xy+1\uff09\uff0e
165\uff0e-\uff08a+b\uff092\uff08a-b\uff092\uff0e
166\uff0e\uff08a+b+c\uff09\uff08a+b-c\uff09\uff08c+a-b\uff09\uff08c-a+b\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff082ab+a2+b2-c2\uff09\uff082ab-a2-b2+c2\uff09
=[\uff08a+b\uff092-c2][c2-\uff08a-b\uff092]
=\uff08a+b+c\uff09\uff08a+b-c\uff09\uff08c+a-b\uff09\uff08c-a+b\uff09\uff0e
167\uff0e\uff08c+a-b\uff09\uff08c-a+b\uff09\uff08c+a+b\uff09\uff08c-a-b\uff09\uff0e
168\uff0e\uff08x+y+a+b\uff09\uff08x+y-a-b\uff09\uff08x-y+a-b\uff09\uff08x-y-a+b\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08x2-b2+y2-a2+2ab-2xy\uff09\uff08x2-b2+y2-a2-2ab+2xy\uff09
=[\uff08x2-2xy+y2\uff09-\uff08a2-2ab+b2\uff09][\uff08x2+2xy+y2\uff09
-\uff08a2+2ab+b2\uff09]
=[\uff08x-y\uff092-\uff08a-b\uff092][\uff08x+y\uff092-\uff08a+b\uff092]
=\uff08x-y+a-b\uff09\uff08x-y-a+b\uff09\uff08x+y+a+b\uff09\uff08x+y-a-b\uff09\uff0e
169\uff0e\uff08x+1\uff092\uff088a2+7b2x+7b2\uff09\uff088a2-7b2x-7b2\uff09\uff0e
170\uff0ea\uff08b-c+2\uff09\uff08b+c-2\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=a\uff08b2-c2+4c-4\uff09
=a\uff08b2-c2+2b-2b+2c+2c-4\uff09
=a[\uff08b-c\uff09\uff08b+c\uff09-2\uff08b-c\uff09+2\uff08b+c\uff09-4]
=a[\uff08b-c\uff09+2][\uff08b+c\uff09-2]\uff0e
171\uff0e\uff082a+c\uff09\uff082a-c+3b\uff09\uff0e
172\uff0e\uff08xn+yn\uff09\uff08x2n-xnyn+y2n\uff09\uff0e
174\uff0e\uff08x+y+5\uff09\uff08x2+2xy+y2-5x-5y+25\uff09\uff0e
176\uff0e-4mn\uff083n2+m2\uff09\uff083m2+n2\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[\uff08m-n\uff093]2-[\uff08m+n\uff093]2
=[\uff08m-n\uff093+\uff08m+n\uff093][\uff08m-n\uff093-\uff08m+n\uff093]
=2m[\uff08m-n\uff092-\uff08m-n\uff09\uff08m+n\uff09\uff08m+n\uff092]
\u00d7{-2n[\uff08m-n\uff092+\uff08m-n\uff09\uff08m+n\uff09+\uff08m+n\uff092]}
=-4mn\uff08m2+3n2\uff09\uff083m2+n2\uff09\uff0e
177\uff0e4x\uff08x2+3\uff09\uff083x2+1\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[\uff08x+1\uff093]2-[\uff08x-1\uff093]2
=[\uff08x+1\uff093+\uff08x-1\uff093][\uff08x+1\uff093-\uff08x-1\uff093]
=2x[\uff08x+1\uff092-\uff08x+1\uff09\uff08x-1\uff09+\uff08x-1\uff092]
\u00d72[\uff08x+1\uff092+\uff08x+1\uff09\uff08x-1\uff09+\uff08x-1\uff092]
=4x\uff08x2+3\uff09\uff083x2+1\uff09\uff0e
178\uff0e\uff08a-b\uff09\uff08a+b\uff09\uff08a2+b2\uff09\uff08a2+ab+b2\uff09\uff08a2-ab+b2\uff09\uff08a4-a2b2+b4\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08a6\uff092-\uff08b6\uff092=\uff08a6+b6\uff09\uff08a6-b6\uff09
=[\uff08a2\uff093+\uff08b2\uff093][\uff08a3\uff092-\uff08b3\uff092]
=\uff08a2+b2\uff09\uff08a4-a2b2+b4\uff09\uff08a3+b3\uff09\uff08a3-b3\uff09\uff0e
179\uff0e-\uff08x+y\uff09\uff08x2+y2+3z2-xy+3yz-3xz\uff09\uff0e
180\uff0e18m\uff083m2+4n2\uff09\uff0e
181\uff0e\uff08x+y\uff092\uff08x-y\uff092\uff08x2-xy+y2\uff09\uff08x2+xy+y2\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=\uff08x2-y2\uff09\uff08x6-y6\uff09
=\uff08x+y\uff09\uff08x-y\uff09\uff08x3+y3\uff09\uff08x3-y3\uff09\uff0e
182\uff0e\uff082x+2y+1\uff09\uff084x2+8xy+4y2-2x-2y+1\uff09\uff0e
183\uff0e\uff08a-b-2\uff09\uff08a2+ab+b2-a+b+1\uff09\uff0e
184\uff0e3\uff08b+c\uff09\uff08a+b\uff09\uff08c+a\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=[\uff08a+b+c\uff093-a3]-\uff08b3+c3\uff09\uff0e
185\uff0e\uff08x+3y\uff09\uff08x+y\uff09\uff0e
186\uff0e\uff08xy-13\uff09\uff08xy-5\uff09\uff0e
187\uff0e\uff08x-6\uff09\uff08x+24\uff09\uff0e
188\uff0e\uff08x+6\uff09\uff08x+24\uff09\uff0e
189\uff0e\uff08x2-2\uff09\uff08x2+4\uff09\uff0e
190\uff0e3\uff08x2+3\uff09\uff08x+1\uff09\uff08x-1\uff09\uff0e
191\uff0e\uff08m2-17\uff09\uff081+m\uff09\uff081-m\uff09\uff0e
192\uff0e\uff083x2+5y2\uff09\uff08x+2y\uff09\uff08x-2y\uff09\uff0e
193\uff0ex\uff08x+2\uff09\uff08x-2\uff09\uff08x2+2\uff09\uff0e
194\uff0ea\uff08a-20b\uff09\uff08a+15b\uff09\uff0e
195\uff0ex2\uff08x+3\uff09\uff08x2-3x+9\uff09\uff08x-2\uff09\uff08x2+2x+4\uff09\uff0e
\u63d0\u793a\uff1a\u539f\u5f0f=x2\uff08x6+19x3-216\uff09
=x2\uff08x3+27\uff09\uff08x3-8\uff09
=x3\uff08x+3\uff09\uff08x2-3x+9\uff09\uff08x-2\uff09\uff08x2+2x+4\uff09\uff0e
196\uff0eak\uff082a2n-5\uff09\uff083a2n+7\uff09\uff0e
199\uff0e2\uff083x-7y\uff09\uff085x+13y\uff09\uff0e
200\uff0e\uff08m2+15\uff09\uff08m+1\uff09\uff08m-1\uff09\uff0e
201\uff0em2(p\uff0dq)\uff0dp\uff0bq\uff1b
202\uff0ea(ab\uff0bbc\uff0bac)\uff0dabc\uff1b
203\uff0ex4\uff0d2y4\uff0d2x3y\uff0bxy3\uff1b
204\uff0eabc(a2\uff0bb2\uff0bc2)\uff0da3bc\uff0b2ab2c2\uff1b
205\uff0ea2(b\uff0dc)\uff0bb2(c\uff0da)\uff0bc2(a\uff0db)\uff1b
206\uff0e(x2\uff0d2x)2\uff0b2x(x\uff0d2)\uff0b1\uff1b
207\uff0e(x\uff0dy)2\uff0b12(y\uff0dx)z\uff0b36z2\uff1b
208\uff0ex2\uff0d4ax\uff0b8ab\uff0d4b2\uff1b
209\uff0e(ax\uff0bby)2\uff0b(ay\uff0dbx)2\uff0b2(ax\uff0bby)(ay\uff0dbx)\uff1b
210\uff0e(1\uff0da2)(1\uff0db2)\uff0d(a2\uff0d1)2(b2\uff0d1)2\uff1b
211\uff0e(x\uff0b1)2\uff0d9(x\uff0d1)2\uff1b
212\uff0e4a2b2\uff0d(a2\uff0bb2\uff0dc2)2\uff1b
213\uff0eab2\uff0dac2\uff0b4ac\uff0d4a\uff1b
214\uff0ex3n\uff0by3n\uff1b
215\uff0e(x\uff0by)3\uff0b125\uff1b
216\uff0e(3m\uff0d2n)3\uff0b(3m\uff0b2n)3\uff1b
217\uff0ex6(x2\uff0dy2)\uff0by6(y2\uff0dx2)\uff1b
218\uff0e8(x\uff0by)3\uff0b1\uff1b
219\uff0e(a\uff0bb\uff0bc)3\uff0da3\uff0db3\uff0dc3\uff1b
220\uff0ex2\uff0b4xy\uff0b3y2\uff1b
221\uff0ex2\uff0b18x\uff0d144\uff1b
222\uff0ex4\uff0b2x2\uff0d8\uff1b
223\uff0e\uff0dm4\uff0b18m2\uff0d17\uff1b
224\uff0ex5\uff0d2x3\uff0d8x\uff1b
225\uff0ex8\uff0b19x5\uff0d216x2\uff1b
226\uff0e(x2\uff0d7x)2\uff0b10(x2\uff0d7x)\uff0d24\uff1b
227\uff0e5\uff0b7(a\uff0b1)\uff0d6(a\uff0b1)2\uff1b
228\uff0e(x2\uff0bx)(x2\uff0bx\uff0d1)\uff0d2\uff1b
229\uff0ex2\uff0by2\uff0dx2y2\uff0d4xy\uff0d1\uff1b
230\uff0e(x\uff0d1)(x\uff0d2)(x\uff0d3)(x\uff0d4)\uff0d48\uff1b
231\uff0ex2\uff0dy2\uff0dx\uff0dy\uff1b
232\uff0eax2\uff0dbx2\uff0dbx\uff0bax\uff0d3a\uff0b3b\uff1b
233\uff0em4\uff0bm2\uff0b1\uff1b
234\uff0ea2\uff0db2\uff0b2ac\uff0bc2\uff1b
235\uff0ea3\uff0dab2\uff0ba\uff0db\uff1b
236\uff0e625b4\uff0d(a\uff0db)4\uff1b
237\uff0ex6\uff0dy6\uff0b3x2y4\uff0d3x4y2\uff1b
238\uff0ex2\uff0b4xy\uff0b4y2\uff0d2x\uff0d4y\uff0d35\uff1b
239\uff0em2\uff0da2\uff0b4ab\uff0d4b2\uff1b
240\uff0e5m\uff0d5n\uff0dm2\uff0b2mn\uff0dn2\uff0e
\u53c2\u8003\u7b54\u6848:
\u4e09\u3001\u56e0\u5f0f\u5206\u89e3\uff1a
1\uff0e(p\uff0dq)(m\uff0d1)(m\uff0b1)\uff0e
8\uff0e(x\uff0d2b)(x\uff0d4a\uff0b2b)\uff0e
11\uff0e4(2x\uff0d1)(2\uff0dx)\uff0e
20\uff0e(x\uff0b3y)(x\uff0by)\uff0e
21\uff0e(x\uff0d6)(x\uff0b24)\uff0e
27\uff0e(3\uff0b2a)(2\uff0d3a)\uff0e
31\uff0e(x\uff0by)(x\uff0dy\uff0d1)\uff0e
38\uff0e(x\uff0b2y\uff0d7)(x\uff0b2y\uff0b5)\uff0e
\u4f60\u53ef\u771f\u72e0 \u8981\u8fd9\u4e48\u591a\u9898\u76ee
1. 5ax+5bx+3ay+3by
\u89e3\u6cd5\uff1a=5x(a+b)+3y(a+b)
=(5x+3y)(a+b)
2. x^3-x^2+x-1
\u89e3\u6cd5\uff1a=(x^3-x^2)+(x-1)
=x^2(x-1)+ (x-1)
=(x-1)(x^2+1)
3. x2-x-y2-y
\u89e3\u6cd5\uff1a=(x2-y2)-(x+y)
=(x+y)(x-y)-(x+y)
=(x+y)(x-y-1)
bc(b+c)+ca(c-a)-ab(a+b)
=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+bc(a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=(bc+ca)(c-a)+(bc-ab)(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)\uff0e
x^2+3x-40
=x^2+3x+2.25-42.25
=(x+1.5)^2-(6.5)^2
=(x+8)(x-5)\uff0e
(x^2+x+1)(x^2+x+2)-12\u65f6\uff0c\u53ef\u4ee5\u4ee4y=x^2+x,\u5219
\u539f\u5f0f=(y+1)(y+2)-12
=y^2+3y+2-12=y^2+3y-10
=(y+5)(y-2)
=(x^2+x+5)(x^2+x-2)
=(x^2+x+5)(x+2)(x-1)\uff0e
(1+y)^2-2x^2(1+y^2)+x^4(1-y)^2
\u89e3\uff1a\u539f\u5f0f=(1+y)^2+2(1+y)x^2(1+y)+x^4(1-y)^2-2(1+y)x^2(1-y)-2x^2(1+y^2)
=[(1+y)+x^2(1-y)]^2-2(1+y)x^2(1-y)-2x^2(1+y^2)
=[(1+y)+x^2(1-y)]^2-(2x)^2
=[(1+y)+x^2(1-y)+2x]\u00b7[(1+y)+x^2(1-y)-2x]
=(x^2-x^2y+2x+y+1)(x^2-x^2y-2x+y+1)
=[(x+1)^2-y(x^2-1)][(x-1)^2-y(x^2-1)]
=(x+1)(x+1-xy+y)(x-1)(x-1-xy-y)
x^5+3x^4y-5x^3y^2+4xy^4+12y^5
\u89e3\uff1a\u539f\u5f0f=(x^5+3x^4y)-(5x^3y^2+15x^2y^3)+(4xy^4+12y^5)
=x^4(x+3y)-5x^2y^2(x+3y)+4y^4(x+3y)
=(x+3y)(x^4-5x^2y^2+4y^4)
=(x+3y)(x^2-4y^2)(x^2-y^2)
=(x+3y)(x+y)(x-y)(x+2y)(x-2y)
\u5206\u89e3\u56e0\u5f0fm +5n-mn-5m
\u89e3\uff1am +5n-mn-5m= m -5m -mn+5n
= (m -5m )+(-mn+5n)
=m(m-5)-n(m-5)
=(m-5)(m-n)
\u5206\u89e3\u56e0\u5f0fbc(b+c)+ca(c-a)-ab(a+b)
\u89e3\uff1abc(b+c)+ca(c-a)-ab(a+b)=bc(c-a+a+b)+ca(c-a)-ab(a+b)
=bc(c-a)+ca(c-a)+bc(a+b)-ab(a+b)
=c(c-a)(b+a)+b(a+b)(c-a)
=(c+b)(c-a)(a+b)
1.(2a-b)²+8ab
2.y²-2y-x²+1
3.x²-xy+yz-xz
4.6x²+5x-4
5.2a²-7ab+6b²
6.(x²-2x)²+2(x²-2x)+1
7.(x²-2x)²-14(x²-2x)-15
8.x²(x-y)+(y-x)
9.169(a+b)²-121(a-b)²
10.(x-3)(x-5)+1
\u7b54\u6848\uff1a1.(2a-b)²+8ab=(2a+b)²
2.y²-2y-x²+1=(y-1)²-x²=(y-1-x)(y-1+x)
3.x²-xy+yz-xz =x(x-y)-z(x-y)=(x-z)(x-y)
4.6x²+5x-4 =(2x-1)(3x+4)
5.2a²-7ab+6b²=(2a-3b)(a-2b)
6.(x²-2x)²+2(x²-2x)+1 =(x²-2x+1)²=(x-1)^4
7.(x²-2x)²-14(x²-2x)-15 =(x²-2x-15)(x²-2x+1)=(x+3)(x-5)(x-1)²
8.x²(x-y)+(y-x) =(x²-1)(x-y)=(x+1)(x-1)(x-y)
9.169(a+b)²-121(a-b)²
=(14a+14b-11a+11b)(14a+14b+11a-11b)
=(3a+25b)(25a+3b)
10.(x-3)(x-5)+1 =(x-3)²-2(x-3)+1 =(x-3-1)²=(x-4)²
-5a^2+16a=a(16-5a)
8x^2-4x=4x(2x-1)
15p+10p^2\uff1d5p(3+2p)
\uff0d3x^2y-6xy=-3xy(x+2y)
14m^3n^2-6m^2n^3=2m^2n^2(7m-6n)
27a^2 b^3 c+18ab^2=9ab^2(3abc+2)
18xy^2 z^3+12x^2 y^2=6xy^2(3z^3+2x)
8m^2 n^2 -6m^3 n^2=2m^2 n^2(4-3m)
\u56e0\u5f0f\u5206\u89e33a3b2c\uff0d6a2b2c2\uff0b9ab2c3\uff1d3ab^2 c(a^2-2ac+3c^2)
3.\u56e0\u5f0f\u5206\u89e3xy\uff0b6\uff0d2x\uff0d3y\uff1d(x-3)(y-2)
4.\u56e0\u5f0f\u5206\u89e3x2(x\uff0dy)\uff0by2(y\uff0dx)\uff1d(x+y)(x-y)^2
5.\u56e0\u5f0f\u5206\u89e32x2\uff0d(a\uff0d2b)x\uff0dab\uff1d(2x-a)(x+b)
6.\u56e0\u5f0f\u5206\u89e3a4\uff0d9a2b2\uff1da^2(a+3b)(a-3b)
7.\u82e5\u5df2\u77e5x3\uff0b3x2\uff0d4\u542b\u6709x\uff0d1\u7684\u56e0\u5f0f\uff0c\u8bd5\u5206\u89e3x3\uff0b3x2\uff0d4\uff1d(x-1)(x+2)^2
8.\u56e0\u5f0f\u5206\u89e3ab(x2\uff0dy2)\uff0bxy(a2\uff0db2)\uff1d(ay+bx)(ax-by)
9.\u56e0\u5f0f\u5206\u89e3(x\uff0by)(a\uff0db\uff0dc)\uff0b(x\uff0dy)(b\uff0bc\uff0da)\uff1d2y(a-b-c)
10.\u56e0\u5f0f\u5206\u89e3a2\uff0da\uff0db2\uff0db\uff1d(a+b)(a-b-1)
11.\u56e0\u5f0f\u5206\u89e3(3a\uff0db)2\uff0d4(3a\uff0db)(a\uff0b3b)\uff0b4(a\uff0b3b)2\uff1d[3a-b-2(a+3b)]^2=(a-7b)^2
12.\u56e0\u5f0f\u5206\u89e3(a\uff0b3)2\uff0d6(a\uff0b3)\uff1d(a+3)(a-3)
13.\u56e0\u5f0f\u5206\u89e3(x\uff0b1)2(x\uff0b2)\uff0d(x\uff0b1)(x\uff0b2)2\uff1d-(x+1)(x+2) abc\uff0bab\uff0d4a\uff1da(bc+b-4)
(2)16x2\uff0d81\uff1d(4x+9)(4x-9)
(3)9x2\uff0d30x\uff0b25\uff1d(3x-5)^2
(4)x2\uff0d7x\uff0d30\uff1d(x-10)(x+3)
35.\u56e0\u5f0f\u5206\u89e3x2\uff0d25\uff1d(x+5)(x-5)
36.\u56e0\u5f0f\u5206\u89e3x2\uff0d20x\uff0b100\uff1d(x-10)^2
37.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0b3\uff1d(x+1)(x+3)
38.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
39.\u56e0\u5f0f\u5206\u89e3\u4e0b\u5217\u5404\u5f0f\uff1a (1)3ax2\uff0d6ax\uff1d3ax(x-2) (2)x(x\uff0b2)\uff0dx\uff1dx(x+1) (3)x2\uff0d4x\uff0dax\uff0b4a\uff1d(x-4)(x-a) (4)25x2\uff0d49\uff1d(5x-9)(5x+9) (5)36x2\uff0d60x\uff0b25\uff1d(6x-5)^2 (6)4x2\uff0b12x\uff0b9\uff1d(2x+3)^2 (7)x2\uff0d9x\uff0b18\uff1d(x-3)(x-6) (8)2x2\uff0d5x\uff0d3\uff1d(x-3)(2x+1) (9)12x2\uff0d50x\uff0b8\uff1d2(6x-1)(x-4)
40.\u56e0\u5f0f\u5206\u89e3(x\uff0b2)(x\uff0d3)\uff0b(x\uff0b2)(x\uff0b4)\uff1d(x+2)(2x-1)
41.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d (x+1)(2ax-3)
42.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d(3x-11)^2
43.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d2(2+x)(2-x)
44.\u56e0\u5f0f\u5206\u89e3x2\uff0dx\uff0b14 \uff1d\u6574\u6570\u5185\u65e0\u6cd5\u5206\u89e3
45.\u56e0\u5f0f\u5206\u89e39x2\uff0d30x\uff0b25\uff1d(3x-5)^2
46.\u56e0\u5f0f\u5206\u89e3\uff0d20x2\uff0b9x\uff0b20\uff1d(-4x+5)(5x+4)
47.\u56e0\u5f0f\u5206\u89e312x2\uff0d29x\uff0b15\uff1d(4x-3)(3x-5)
48.\u56e0\u5f0f\u5206\u89e336x2\uff0b39x\uff0b9\uff1d3(3x+1)(4x+3)
49.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
50.\u56e0\u5f0f\u5206\u89e39x4\uff0d35x2\uff0d4\uff1d(9x^2+1)(x+2)(x-2)
51.\u56e0\u5f0f\u5206\u89e3(2x\uff0b1)(x\uff0b1)\uff0b(2x\uff0b1)(x\uff0d3)\uff1d2(x-1)(2x+1)
52.\u56e0\u5f0f\u5206\u89e32ax2\uff0d3x\uff0b2ax\uff0d3\uff1d(x+1)(2ax-3)
53.\u56e0\u5f0f\u5206\u89e3x(y\uff0b2)\uff0dx\uff0dy\uff0d1\uff1d(x-1)(y+1)
54.\u56e0\u5f0f\u5206\u89e3(x2\uff0d3x)\uff0b(x\uff0d3)2\uff1d(x-3)(2x-3)
55.\u56e0\u5f0f\u5206\u89e39x2\uff0d66x\uff0b121\uff1d(3x-11)^2
56.\u56e0\u5f0f\u5206\u89e38\uff0d2x2\uff1d2(2-x)(2+x)
57.\u56e0\u5f0f\u5206\u89e3x4\uff0d1\uff1d(x-1)(x+1)(x^2+1)
58.\u56e0\u5f0f\u5206\u89e3x2\uff0b4x\uff0dxy\uff0d2y\uff0b4\uff1d(x+2)(x-y+2)
59.\u56e0\u5f0f\u5206\u89e34x2\uff0d12x\uff0b5\uff1d(2x-1)(2x-5)
60.\u56e0\u5f0f\u5206\u89e321x2\uff0d31x\uff0d22\uff1d(21x+11)(x-2)
61.\u56e0\u5f0f\u5206\u89e34x2\uff0b4xy\uff0by2\uff0d4x\uff0d2y\uff0d3\uff1d(2x+y-3)(2x+y+1)
62.\u56e0\u5f0f\u5206\u89e39x5\uff0d35x3\uff0d4x\uff1dx(9x^2+1)(x+2)(x-2)
3x²-13x+10=（3x-10)(x-1)
3x²-13x-10=((3x+2)(x-5)
6x²-7x-5=(2x+1)(x-5)
5x²+6xy-8y²=(5x-4y)(x+2y)
6x²-11xy+3y²=(x-3y)(x-y)
x的四次方+6x²-7=(x²+7)(x²-1)=(x²+7)(x+1)(x-1)
3m²n²-2mn-1=(3mn+1)(mn-1)
x²+3x-10=(x+5)(x-2)
a²+4a-21=(a+7)(a-3)
m²+4m-12=(m+6)(m-2)
x²+2x-15=(x+5)(x-3)
y²-3y-18=(y-6)(y+3)
2x²-x-1=(2x+1)(x-1)
6x²+7x+2=(2x+1)(3x+2)
6y²-11y-10=(3y+2)(2y-5)
6x²+x-15=(2x-3)(3x+5)
3a²-8a+4=(a-2)(3a-2)
5x²+7x-6=(5x-3)(x+2)
5+7m-6m²=(5-3m)(1+2m)
2x²+15x+7=(2x+1）（x+7)
2y²+y-6=(2y-3)(y+2)
3a²-7a-6=(3a+2)(a-3)
6x²-13x+6=(3x-2)(2x-3)
4n²+4n-15=(2n+5)(2n-3)
x²y²-7xy+10=(xy-2)（xy-5)
x的4次方-10x²+9=(x²-9)(x²-1)=(x+1)(x-1)(x+3)(x-3)
5a²-41ab+8b²=(5a-b)(a-8b)
x²+9x-70=(x+14)(x-5)
x²-25+150=(x-100（x-15)
x²-25x-150²=
x²-52x+100=(x-50)(x-2)
x²-5x-1050=(x-35)(x+30)
y²-34y-800=(y-50)(y+16)
x²-155x+750=(x-150)(x-5)
x²-75x+1350=(x-45)(x-30)
6x²-65x+50=(6x-5)(x-10)
25x²+75x-16=(5x-1)(5x+16)
400x²+600x-31=(20x-1)(20x+31)
x的4次方-8x²y²-9y的4次方=(x²-9y²)(x²+y²)=(x+3y)(x-3y)(x²+y²)
绛旓細21.鍒╃敤鍥犲紡鍒嗚В姹(6512 )2-(3412 )2涔嬪 22.鍥犲紡鍒嗚Вa(b2-c2)-c(a2-b2)24.鍥犲紡鍒嗚В7(x-1)2+4(x-1)(y+2)-20(y+2)2 25.鍥犲紡鍒嗚Вxy2-2xy-3x-y2-2y-1 26.鍥犲紡鍒嗚В4x2-6ax+18a2 27.鍥犲紡鍒嗚В20a3bc-9a2b2c-20ab3c 28.鍥犲紡鍒嗚В2ax2-5x+2ax-5 29.鍥犲紡鍒嗚В4x3+4x2-25...
绛旓細1.X鐨勫钩鏂-4 =(x+2)(x-2)2.9-Y鐨勫钩鏂=(3+y)(3-y)3.1-a鐨勫钩鏂=(1+a)(1-a)4.4X鐨勫钩鏂-Y鐨勫钩鏂=(2x+y)(2x-y)5.a鐨勫钩鏂-9鍒嗕箣涓X鐨勫钩鏂=(a+1/3x)(a-1/3x)6.36-m鐨勫钩鏂=(6+m)(6-m)7.4X鐨勫钩鏂-9Y鐨勫钩鏂=(3x+2y)(3x-2y)8.0.81a鐨勫钩鏂-16b=(0.9a+4b...
绛旓細6x^2-13x+2 = (6x-1)(x-2)a(x-a)+b(a-x)-(x-a)= (x-a)(a-b-1)2mx^2-12mx+18m = 2m(x-3)^2 x^3+6x-7 = (x-1)(x^2+x+7)x^4-8x^2+7 = (x+1)(x-1)(x^2-7)= (x+1)(x-1)(x+鈭7)(x-鈭7)3x^3+10x^2+10x+4 = (x+2)(3x^2+4x+2)...
绛旓細1.x^2+y^2+2x-6y+10=0;鍗硏^2+2x+1+y^2-6y+9=0 鍗(x+1)^2+(y-3)^2=0;鏁厁+1=0,y-3=0;鍗硏=-1,y=3 鏁厁+y=2.2.x^3-2x^2y+xy^2-x =x(x^2-2xy+y^2)-x =x(x-y)^2-x =x[(x-y)^2-1]=x(x-y+1)(x-y-1)...
绛旓細50閬鍥犲紡鍒嗚В鍜绛旀 2.3a3b2c锛6a2b2c2锛9ab2c3锛3ab^2 c(a^2-2ac+3c^2)3.鍥犲紡鍒嗚Вxy锛6锛2x锛3y锛(x-3)(y-2)4.鍥犲紡鍒嗚Вx2(x锛峺)锛媦2(y锛峹)锛(x+y)(x-y)^2 5.鍥犲紡鍒嗚В2x2锛(a锛2b)x锛峚b锛(2x-a)(x+b)6.鍥犲紡鍒嗚Вa4锛9a2b2锛漚^2(a+3b)(a-3b)7.鑻ュ凡鐭3...
绛旓細10.鍥犲紡鍒嗚Вa2锛峚锛峛2锛峛锛 11.鍥犲紡鍒嗚В(3a锛峛)2锛4(3a锛峛)(a锛3b)锛4(a锛3b)2锛 12.鍥犲紡鍒嗚В(a锛3)2锛6(a锛3)锛 13.鍥犲紡鍒嗚В(x锛1)2(x锛2)锛(x锛1)(x锛2)2锛 14.鑻2脳4脳(32锛1)脳(34锛1)脳(38锛1)脳(316锛1)锛3n锛1,姹n锛 .15.鍒╃敤骞虫柟宸叕寮,姹傛爣鍑嗗垎瑙...
绛旓細25.x2锛峹锛14 锛濇暣鏁板唴鏃犳硶鍒嗚В 26.9x2锛30x锛25锛(3x-5)^2 27.锛20x2锛9x锛20锛(-4x+5)(5x+4)28.12x2锛29x锛15锛(4x-3)(3x-5)29.36x2锛39x锛9锛3(3x+1)(4x+3)30.21x2锛31x锛22锛(21x+11)(x-2)31.9x4锛35x2锛4锛(9x^2+1)(x+2)(x-2)32.(2x锛1)(x...
绛旓細鍗佷竴銆亁^4+x^2-20 鍗佷簩銆(x^2-2x)-3(x^2-2x)-4 鍗佷笁銆(y^2-6)^2-6(y^2-6)+9 杩樻湁瑙ｇ瓟棰1銆佷笉瑙ｆ柟绋嬬粍2x+y=6銆亁-3y=1锛屾眰7y锛坸-3y)^3鐨勫 2銆佸凡鐭+y=1锛寈y=1/5锛屾眰x^2y+xy^2; (x^2+1)(y^2+1)3銆乤+b=5,ab=-3锛屾眰a^3+a^2b+ab^2+b^3鐨勫 ...
绛旓細2銆佸崄瀛楃浉涔樻硶鐨勭敤澶勶細锛1锛夌敤鍗佸瓧鐩镐箻娉曟潵鍒嗚В鍥犲紡銆傦紙2锛夌敤鍗佸瓧鐩镐箻娉曟潵瑙ｄ竴鍏冧簩娆℃柟绋嬨3銆佸崄瀛楃浉涔樻硶鐨勪紭鐐癸細鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ棰樼殑閫熷害姣旇緝蹇紝鑳藉鑺傜害鏃堕棿锛岃屼笖杩愮敤绠楅噺涓嶅ぇ锛屼笉瀹规槗鍑洪敊銆4銆佸崄瀛楃浉涔樻硶鐨勭己闄凤細1銆佹湁浜棰樼洰鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ姣旇緝绠鍗曪紝浣嗗苟涓嶆槸姣忎竴閬撻鐢ㄥ崄瀛楃浉涔樻硶鏉ヨВ閮...
绛旓細1.ab³-4ab=ab(b²-4)=ab(b+2)(b-2)2.3x²y+12xy²+12y³=3y(x²+4xy+4y²)=3y(x+2y)²3.x³y-2x²y²+xy³=xy(x²-2xy+y²)=xy(x-y)²4.12a⁴b²-27a²b⁴...
