因式分解x^2-2xy-8y^2

问题描述:

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)

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