已知m=x-y n=xy試用m,n表示(x³;+y³;)²; 如題.

已知m=x-y n=xy試用m,n表示(x³;+y³;)²; 如題.

m^2=(x-y)^2 = x^2+y^2-2n(x³;+y³;)²;= [(x+y)(x^2-xy+y^2)]^2 =[(x+y)(m^2+2n)]^2=(x+y)^2(m^2+2n)^2(x³;+y³;)²;=(m^2+4n)(m^2+2n)^2