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](/uploads/image/z/20105048-56-8.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%EF%BC%9A%283x%2By%29%5E2-%28x-3y%29%5E2)
(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)