已知x+y=5,x^2+y^2=13,求代数式x^3y+2x^2y^2+xy^3的值谢谢了,

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/17 04:32:11

已知x+y=5,x^2+y^2=13,求代数式x^3y+2x^2y^2+xy^3的值谢谢了,
已知x+y=5,x^2+y^2=13,求代数式x^3y+2x^2y^2+xy^3的值谢谢了,

已知x+y=5,x^2+y^2=13,求代数式x^3y+2x^2y^2+xy^3的值谢谢了,
x+y=5, x^2+y^2=13 xy = (5^2 - 13) / 2 = = 6 x^3y+2x^2y^2+xy^3 = xy(x^2 + y^2) + 2xy xy = xy (x +y)^2 = xy * 5^2 = 6 * 25 = 150