已知A=2x+y,B=2x-y,计算A2-B2.

问题描述:

已知A=2x+y,B=2x-y,计算A2-B2

A2-B2=(2x+y)2-(2x-y)2
=(4x2+4xy+y2)-(4x2-4xy+y2
=4x2+4xy+y2-4x2+4xy-y2
=8xy.