化简求值:已知:X,Y满足:X平方+Y平方-4X+6Y+13=0 ,求(3X+Y)平方-3(3X-Y)(X+Y)-(X-3Y)(X+3Y)值,急急急
问题描述:
化简求值:已知:X,Y满足:X平方+Y平方-4X+6Y+13=0 ,求(3X+Y)平方-3(3X-Y)(X+Y)-(X-3Y)(X+3Y)值,急急急
今天作业是这个,所以求各位智者帮帮忙,急急急急啊!谢谢啦啊!
答
X^2+Y^2-4X+6Y+13=0
(x-2)^2+(y+3)^2=0
x=2,y=-3
(3X+Y)^2-3(3X-Y)(X+Y)-(X-3Y)(X+3Y)
=9x^2+6xy+y^2-3(3x^2+2xy-y^2)-(x^2-9y^2)
=-x^2+12y^2
=-2^2+12(-3)^2
=104