已知x^2+y^2=7,xy=-1,求代数式:5x^2-(3xy+4y^2)-(11xy-2y^2)-7x^2
问题描述:
已知x^2+y^2=7,xy=-1,求代数式:5x^2-(3xy+4y^2)-(11xy-2y^2)-7x^2
答
5x^2-(3xy+4y^2)-(11xy-2y^2)-7x^2
=5x^2-3xy-4y^2-11xy+2y^2-7x^2
=-2x^2-2y^2-14xy
=-2(x^2+y^2)-14*xy
=-2*7-14*(-1)
=-14+14
=0