因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y)

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因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y)
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因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y)
因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y)

因式分解(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y)
(x-2y)(x-3y)+(x-4y)(x-5y)+（x-3y)(x-5y)+(x-2y)(x-4y)
= (x-2y)[(x-3y)+(x-4y)]+(x-5y)[(x-4y)+(x-3y)]
= (x-2y)(2x-7y)+(x-5y)(2x-7y)
= (2x-7y)[(x-2y)+(x-5y)]
= (2x-7y)(2x-7y)
= (2x-7y)^2

(x-2y)(x-3y)+(x-4y)(x-5y)+(x-3y)(x-5y)+(x-2y)(x-4y)=(x-2y)[(x-3y)+(x-4y)]+(x-5y)[(x-3y)+(x-4y)]=(x-2y)(2x-7y)+(x-5y)(2x-7y)=(2x-7y)[(x-2y)+(x-5y)]=(2x-7y)(2x-7y)=(2x-7y)^2

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