4(x+y)²-(x-y)² 分解因式

4(x+y)²-(x-y)² 分解因式
4(x+y)²-(x-y)² 分解因式

4(x+y)²-(x-y)² 分解因式
4(x+y)²-(x-y)²
=[2(x+y)+(x-y)][2(x+y)-(x-y)]
=(2x+2y+x-y)(2x+2y-x+y)
=(3x+y)(x+3y)

4(x+y)²-(x-y)²
=[2(x+y)-(x-y)][2(x+y)+(x-y)]
=(2x+2y-x+y)(2x+2y+x-y)
=(x+3y)(3x+y)
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