因式分解(9) 送5分

2009-02-09 7:08 am
1. (3x-2y)^2+8y(3x-2y)+16y^2
2. (3x+2y)^2-8y(3x+2y)+16y^2
3. x^2+2x(y+x)+(y+x)^2
4. x^2+6x(a+b)+9(a+b)^2

回答 (1)

2009-02-09 7:13 am
✔ 最佳答案
1.
(3x-2y)^2+8y(3x-2y)+16y^2
=(3x-2y)^2+8y(3x-2y)+(4y)^2
=(3x-2y+4y)^2
=(3x+2y)^2
2.
(3x+2y)^2-8y(3x+2y)+16y^2
=(3x+2y)^2-8y(3x+2y)+(4y)^2
=(3x+2y-4y)^2
=(3x-2y)^2
3.
x^2+2x(y+x)+(y+x)^2
=(x+y+x)^2
=(2x+y)^2
4.
x^2+6x(a+b)+9(a+b)^2
=x^2+6x(a+b)+[3(a+b)]^2
=(x+3(a+b))^2
=(x+3a+3b)^2


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