已知A=2x-y,B=x+y,计算A^2-2AB

问题描述:

已知A=2x-y,B=x+y,计算A^2-2AB

A²-2AB
=A(A-2B)
=(2x-y)[(2x-y)-2(x+y)]
=(2x-y)(2x-y-2x-2y)
=-3y(2x-y)
=-6xy+3y²

A^2-2AB
=A(A-2B)
=(2x-y)(2x-y-2(x+y))
=(2x-y)(-3y)
=3y^2-6xy