问题
解答题
先化简再求值:
已知:(x-3)2+|y+2|=0,求代数式2x2+(-x2-2xy+2y2)-2(x2-xy+2y2)的值.
答案
解:∵(x﹣3)2≥0,|y+2|≥0,
∴x-3=0,x=3,y+2=0,y=-2,
原式=2x2+-x2-2xy+2y2-2x2+xy-2y2
=-x2-2y2
=-9-8
=-17.
先化简再求值:
已知:(x-3)2+|y+2|=0,求代数式2x2+(-x2-2xy+2y2)-2(x2-xy+2y2)的值.
解:∵(x﹣3)2≥0,|y+2|≥0,
∴x-3=0,x=3,y+2=0,y=-2,
原式=2x2+-x2-2xy+2y2-2x2+xy-2y2
=-x2-2y2
=-9-8
=-17.