因式分解:(3x+y)^2-(x-3y)^2

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因式分解:(3x+y)^2-(x-3y)^2因式分解:(3x+y)^2-(x-3y)^2因式分解:(3x+y)^2-(x-3y)^2(3x+y)^2-(x-3y)^2=[(3x+y)+(x-3y)][

因式分解:(3x+y)^2-(x-3y)^2
因式分解:(3x+y)^2-(x-3y)^2

因式分解:(3x+y)^2-(x-3y)^2
(3x+y)^2-(x-3y)^2
=[(3x+y)+(x-3y)][(3x+y)-(x-3y)]
=(4x-2y)(2x+4y)
=4(2x-y)(x+2y)

(3x+y)^2-(x-3y)^2
=(3x+y+x-3y)(3x+y-x+3y)
=(4x-2y)(2x+4y)
=4(2x-y)(x+2y)

(3x+y+x-3y)(3x+y-x+3y)=(4x-2y)(2x+4y)=4(2x-y)(x+2y)