(3x+2y)^2-(2x+3y)^2 分解因式

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(3x+2y)^2-(2x+3y)^2 分解因式
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(3x+2y)^2-(2x+3y)^2 分解因式
(3x+2y)^2-(2x+3y)^2 分解因式

(3x+2y)^2-(2x+3y)^2 分解因式
(3x+2y)^2-(2x+3y)^2
=(3x+2y+2x+3y)(3x+2y-2x-3y)
=(5x+5y)(x-y)
=5(x+y)(x-y)

(3x+2y)^2-(2x+3y)^2
=[(3x+2y)+(2x+3y)][(3x+2y)-(2x+3y)]
=(5x+5y)(x-y)
=5(x+y)(x-y)

(3x+2y)^2-(2x+3y)^2
=(3x+2y+2x+3y)(3x+2y-2x-3y)
=(5x+5y)(x-y)
=5(x+y)(x-y)

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