Question

(x+y+z)^2-(x-y-z)^2因式分解

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Answer 1

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

Answer 2

(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)=4xy+4xz