好多因式分解的题目,能帮我解答吗

\u6c42\u51e0\u4e2a\u56e0\u5f0f\u5206\u89e3\u7684\u9898\u76ee\u7b54\u6848

\uff081\uff09\u6c42\u591a\u9879\u5f0f9x^2-24x+16\u4e0e9x^2-16\u7684\u516c\u56e0\u5f0f
\u89e3\uff1a9x^2-24x+16\u5229\u7528\u5b8c\u5168\u5e73\u65b9\u5dee\u516c\u5f0f\u5f97(3x-4)^2
9x^2-16\u5229\u7528\u5e73\u65b9\u5dee\u516c\u5f0f\u5f97(3x-4)(3x+4)
\u6240\u4ee5\u516c\u56e0\u5f0f\u4e3a3x-4
\uff082\uff09\u5229\u7528\u5206\u89e3\u56e0\u5f0f\u8ba1\u7b97 3.14*21+6.28*10-3.14*40
\u89e3\uff1a3.14*21+6.28*10-3.14*40
=3.14*21+3.14*2*10-3.14*40
=3.14*(21+2*10-40)
=3.14

\uff083\uff09\u5229\u7528\u5206\u89e3\u56e0\u5f0f\u8ba1\u7b97
\u89e3\uff1a 16-(2x+3y)^2
=(4+2x+3y)(4-2x-3y)
\uff084\uff09\u6539\u5199\u4e3a\u5e73\u65b9\u516c\u5f0f\u7684\u5f62\u5f0fx^2-4x+4
\u89e3\uff1a x^2-4x+4
=(x-2)^2
(5)\u6539\u5199\u4e3a\u5e73\u65b9\u516c\u5f0f\u7684\u5f62\u5f0f16a^2+8a+1
\u89e3\uff1a 16a^2+8a+1
=(4a+1)^2
\uff086\uff09\u6539\u5199\u4e3a\u5e73\u65b9\u516c\u5f0f\u7684\u5f62\u5f0f-m^2+2m-1
\u89e3\uff1a -m^2+2m-1
=-\uff08m^2-2m+1\uff09
=-\uff08m-2\uff09^2
\uff087\uff09\u628a\u591a\u9879\u5f0fa^2-(b-c)^2\u5206\u89e3\u56e0\u5f0f\u5f97__________
\u89e3\uff1aa^2-(b-c)^2
=\uff08a-b+c)(a+b+c\uff09
\u9644\uff1a\u5b8c\u5168\u5e73\u65b9\u516c\u5f0f\uff08\u89c1\u56fe\uff09
\u5e73\u65b9\u5dee\u516c\u5f0f\u4e5f\u5c31\u662f:\u4e24\u4e2a\u6570\u7684\u548c\u4e0e\u8fd9\u4e24\u4e2a\u6570\u7684\u5dee\u7b49\u4e8e\u8fd9\u4e24\u4e2a\u6570\u7684\u5e73\u65b9\u5dee.
(a+b)(a-b)=a^2- b^2

\u4e00\u3001\u89e3\uff1a\u539f\u5f0f=(p+q)*(6p-4q)\u3002\u4e8c\u3001\u89e3\uff1a\u539f\u5f0f=\uff0dm(3-a)+2(3-a)=(2-m)*(3-a)

1、x^2-y^2+x+y
=(x+y)*(x-y)+(x+y)
=(x+y)(x-y+1)

2、6a^2-7a+2
=(2a-1)*(3a-2)

3、8x^3y-50xy^3
=2xy*(4x^2+25y^2)
=2xy*(2x+5y)*(2x-5y)

4、4(a-b)^2-16(a+b)^2
=(2a-2b)^2-(4a+4b)^2
=(2a-2b+4a+4b)*(2a-2b-4a-4b)
=(6a+2b)*(-2a-6b)

5、a^2+2am+m^2-b^2+2bn-n^2
=(a+m)^2-(b-n)^2
=(a+m+b-n)*(a+m-b+n)

=18

x^2-y^2+x+y
=(x+y)(x-y)+x+y
=(x+y)(x-y+1)

6a^2-7a+2
=(2a-1)(3a-2)

8x^3y-50xy^3
=2xy(4x^2-25y^2)
=2xy(2x-5y)(2x+5y)

4(a-b)^2-16(a+b)^2
=4(a-b-4a-4b)(a-b+4a+4b)

a^2+2am+m^2-b^2+2bm-n^2
=(a+m)^2-(b-n)^2
=(a+m-b+n)(a+m+b-n)

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