因式分解,要过程!
\u51e0\u9053\u56e0\u5f0f\u5206\u89e3\uff0c\u8981\u8fc7\u7a0b1\uff09-x\u7684\u5e73\u65b9+2x+8
=-(x^2-2x-8)
=-(x-4)(x+2)
\uff082\uff09a\u7684\u5e73\u65b9-b\u7684\u5e73\u65b9+2bc-c\u7684\u5e73\u65b9
=a^2-(b^2-2bc+c^2)
=a^2-(b-c)^2
=(a-b+c)(a+b-c)
\uff083\uff09x\u7684\u5e73\u65b9+6xy+8y\u7684\u5e73\u65b9
=(x+2y)(x+4y)
\uff084\uff09m\u7684\u5e73\u65b9+2mn-15n\u7684\u5e73\u65b9
=(m-3n)(m+5n)
(5 )\uff08a-b\uff09\u7684\u5e73\u65b9-\uff08a-b\uff09\u7684\u5e73\u65b9-2
=(a-b-2)(a-b+1)
\uff086\uff09\uff08a+b\uff09\u7684\u5e73\u65b9+\uff08a+b\uff09-6
=(a+b+3)(a+b-2)
\uff087\uff09a\u7684\u5e73\u65b9-2ab+b\u7684\u5e73\u65b9-1
=(a-b)^2-1
=(a-b+1)(a-b-1)
=2xy^3(6x^2yz-4xz+1)÷2xy^3
=6x^2yz-4xz+1
2. (-a^2b-ab^2)÷(-ab)
=(-ab)(a+b)÷(-ab)
=a+b
3. [(x+y)^2-(x-y)^2]÷xy
={ [(x+y)-(x-y)][(x+y)+(x-y)]}÷xy
=[(x+y-x+y)(x+y+x-y)]÷xy
=4xy÷xy
=4
4. [6(a-2)^5-15(a-2)^4]÷3(a-2)
=3(a-2)[2(a-2)^4-5(a-2)^3]÷3(a-2)
=2(a-2)^4-5(a-2)^3
5. [(x+3)^2+(x+3)(x-3)]÷2x
= [(x+3)(x+3+x-3)]÷2x
= 2x(x+3)÷2x
=x+3
6. (16a^4 b^5 c^3-12a^3 b^2 c^2+8a^2 b^3)÷(-2ab)^2
=(16a^4 b^5 c^3-12a^3 b^2 c^2+8a^2 b^3)÷(4a^2b^2)
=4a^2b^2(4a^2 b^3 c^3-3a c^2+2b)÷(4a^2b^2)
=4a^2 b^3 c^3-3a c^2+2b
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绛旓細鍥炵瓟锛1銆佸師寮=-a(a²-2ab+b²)=-a(a-b)² 2銆佸師寮=(x+2y)(x-2y)+(x-2y) =(x-2y)(x+2y+1)