1.因式分解 4(x-y)²-9(x+y)²

问题描述:

1.因式分解 4(x-y)²-9(x+y)²

4(x-y)²-9(x+y)² 平方差
=[2(x-y)-3(x+y)][2(x-y)+3(x+y)]
=(2x-2y-3x-3y)(2x-2y+3x+3y)
=(-x-5y)(5x+y)
=-(x+5y)(5x+y)