先化简再求值:(x-2y)²-(x+2y)(x-2y)-(x-3y)(x-y).其中x²+9y²+4x-18y+13=0.
问题描述:
先化简再求值:(x-2y)²-(x+2y)(x-2y)-(x-3y)(x-y).其中x²+9y²+4x-18y+13=0.
答
x²+9y²+4x-18y+13=0.
(x²+4x)+(9y²-18y)+(4+9)=0
(x²+4x+4)+(9y²-18y+9)=0
(x+2)²+9(y-1)²=0
则x=2 y=1
原式=(2-2X1)²-(2+2X1)(2-2X1)-(2-3X1)(2-1)=1 [X为乘号]