因式分解(1/2x+2/3-3/4z)^2-(1/2x-2/3y-3/4z)^2

题目详情

因式分解
(1/2x+2/3-3/4z)^2-(1/2x-2/3y-3/4z)^2

▼优质解答

答案和解析

(1/2x+2/3y-3/4z)^2-(1/2x-2/3y-3/4z)^2
=(1/2x+2/3y-3/4z+1/2x-2/3y-3/4z)(1/2x+2/3y-3/4z-1/2x+2/3y+3/4z)
=4/3y(x-3/2z)

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