已知m=x-y,n=xy,用m,n表示(x^3+y^3)^2
问题描述:
已知m=x-y,n=xy,用m,n表示(x^3+y^3)^2
答
(x^3+y^3)^2=(x+y)^2*(x^2-xy+y^2)^2=[(x-y)^2+4xy]*[(x-y)^2+xy]^2=(m^2+4n)*(m^2+n)^2
已知m=x-y,n=xy,用m,n表示(x^3+y^3)^2
(x^3+y^3)^2=(x+y)^2*(x^2-xy+y^2)^2=[(x-y)^2+4xy]*[(x-y)^2+xy]^2=(m^2+4n)*(m^2+n)^2