Question

计算 (a-b)(2x-y)+(a+b)(2y-x)

Answer 1

(a-b)(2x-y)+(a+b)(2y-x)
=2ax-ay-2bx+by+2ay-ax+2by-bx
=ax+ay-3bx+3by

追问

用因式分解可以吗？ 谢谢

追答

(a-b)(2x-y)+(a+b)(2y-x)
=2x(a-b)-y(a-b)+2y(a+b)-x(a+b)
=x(2a-2b-a-b)+y(2a+2b-a+b)
=(a-b)x+(a+3b)y

追问

不好意思 我题目打错了 应该是 因式分解(a+b)(2x-y)+(a+b)(2y-x)

追答

(a+b)(2x-y)+(a+b)(2y-x)
=(a+b)[(2x-y)+(2y-x)]
=(a+b)(x+y)

Answer 2

=2ax-2bx-ay+by+2ay+2by-ax-bx
=ax-3bx+ay+3by