因式分解9(x+y)^2-4(x-y)^2

因式分解9(x+y)^2-4(x-y)^2
2025-06-22 23:36:56
推荐回答(3个)
回答1:

此式可以写成:[2(x+y)]^2-[3(x-y)]^2=
(2x+2y+3x-3y)(2x+2y-3x+3y)=(5x-y)(5y-x

回答2:

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

回答3:

平方差公式啊~~
(5x+y)(x+5y)