因式分解x^2-2xy-8y^2

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因式分解x^2-2xy-8y^2

因式分解x^2-2xy-8y^2
因式分解x^2-2xy-8y^2

因式分解x^2-2xy-8y^2
x^2-2xy-8y^2=x^2-2xy+y^2-9y^2=(x-y)^2-(3y)^2=(x-y+3y)(x-y-3y)=(x+2y)(x-4y)

x^2-2xy-8y^2
=(x-4y)(x+2y)

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

(x+2y)*(x-4y)