先化简,再求值:(x+y)(2x-y)-(x+2y)(x-2y),其中x=3,y=4

先化简,再求值:(x+y)(2x-y)-(x+2y)(x-2y),其中x=3,y=4.
2025-01-01 11:43:44
推荐回答(1个)
回答1:

(x+y)(2x-y)-(x+2y)(x-2y)
=2x 2 -xy+2xy-y 2 -(x 2 -4y 2
=2x 2 -xy+2xy-y 2 -x 2 +4y 2
=x 2 +xy+3y 2
把x=3,y=4代入得,
原式=3 2 +3×4+3×4 2
=9+12+3×16
=21+48
=69.