先化简,再求值:(3x-2y)2-(5x+y)(5x-y),其中x=2,y=-1.

问题描述:

先化简,再求值:(3x-2y)2-(5x+y)(5x-y),其中x=2,y=-1.

(3x-2y)2-(5x+y)(5x-y)
=9x2-12xy+4y2-(25x2-y2
=9x2-12xy+4y2-25x2+y2
=-16x2-12xy+5y2
当x=2,y=-1时,原式=-16×22-12×2×(-1)+5×(-1)2
=-64+24+5
=-35.