分解公因式x的平方-2xy-8y的平方

问题描述:

分解公因式x的平方-2xy-8y的平方

x^2-2xy-8y^2
=x^2-2xy+y^2-y^2-8y^2
=(x-y)^2-(3y)^2
=(x-y+3y)(x-y-3y)
=(x+2y)(x-4y)