分解因式:(2x+3y)^2-(2x-y)^2
问题描述:
分解因式:(2x+3y)^2-(2x-y)^2
答
(2x+3y)²-(2x-y)²
=[(2x+3y)-(2x-y)][(2x+3y)+(2x-y)]
=(2x+3y-2x+y)(2x+3y+2x-y)
=4y(4x+2y)
=8y(2x+y)
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