Question

(x + y + z)² - (x – y – z )² 怎么因式分解？

Answer 1

(x+y+z)²-(x–y–z)²=(x+y+z+x-y-z)(x+y+z-x+y+z)=2x(2y+2z)=4x(y+z)

把x+y+z和x-y-z分别看作一项，再运用平方差公式分解，或者拆开再提取公因式。

希望对你有帮助!

Answer 2

(x+y+z)^2-(x-y-z)^2=(x+y+z-x+y+z)(x+y+z+x-y-z)=(2y+2z)×2x=4xy+4xz

Answer 3

(x + y + z)² - (x – y – z )²=（x+y+z+x-y-z)(x+y+z-x+y+z)=2x(2y+2z)=4x(y+z)