6x^2+xy-2y^2如何分解因式?
问题描述:
6x^2+xy-2y^2如何分解因式?
还有x^3-x^2y-xy^2+y^3怎么分解因式?
答
6x^2+xy-2y^2
=(2x-y)(3x+2y),十字相乘法
x^3-x^2y-xy^2+y^3
=x^2(x-y)-y^2(x-y)
=(x^2-y^2)(x-y)
=(x+y)(x-y)^2