因式分解 (a+b)²-1 -(x+2)²+16(x-1)² (3x+2y)²-

问题描述:

因式分解 (a+b)²-1 -(x+2)²+16(x-1)² (3x+2y)²-(x-y)²
1个回答 分类:数学 2014-09-19

问题解答:

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(a+b)²-1
=(a+b+1)(a+b-1)
-(x+2)²+16(x-1)²
=[4(x-1)+(x+2)][4(x-1)-(x+2)]
=(4x-4+x+2)(4x-4-x-2)
=(5x-2)(3x-6)
=3(x-2)(5x-2)
(3x+2y)²-(x-y)²
=[(3x+2y)+(x-y)][(3x+2y)-(x-y)]
=(3x+2y+x-y)(3x+2y-x+y)
=(4x+y)(2x+3y)
 
 
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