分解因式 25(x+y)²-16(x-y)²

来源:百度知道 编辑:UC知道 时间:2024/06/28 02:45:53
些详细过程

25(x+y)^2-16(x-y)^2
=[5(x+y)]^2-[4(x-y)]^2
=[5(x+y)+4(x-y)][5(x+y)-4(x-y)]
=(9x-y)(x+9y)

能简化点么,那些符号不怎么懂!!!!

25(x+y)^2-16(x-y)^2

=(5(x+y))^2-(4(x-y))^2

=(5x+5y+4x-4y)(5x+5y-4x+4y)

=(9x+y)(x+9y)

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

运用平方差

分解因式 25(x+y)^2-16(x-y)^2;

25(x+y)^2-16(x-y)^2
=[5(x+y)]^2-[4(x-y)]^2
=[5(x+y)+4(x-y)][5(x+y)-4(x-y)]
=(9x+y)(x+9y)