化简:(X^2+XY+Y^2)^2-4XY(X^2+Y^2)

来源：学生作业帮编辑：百度作业网作业帮分类：数学作业时间：2024/06/30 20:40:02

化简:(X^2+XY+Y^2)^2-4XY(X^2+Y^2)
{x^2-xy+y^2}^2 我想知道怎么化简得来的?

令X^2+Y^2=a XY=b
(a+b)^2-4ab=a^2+b^2+2ab-4ab=a^2+b^2+-2ab=(a-b)^2
(X^2+XY+Y^2)^2-4XY(X^2+Y^2)={x^2-xy+y^2}^2

（xy-x^2)乘以(xy)/(x-y) （x^2+xy/x-y)/（xy/x-y)计算 x^2y+4xy+4y （-3x^y+2xy)-( )=4x^+xy (x+y-2xy)(x+y-2)+(1-xy)² (x^2-xy)y÷y-x/xy怎么做? (x^-4y^)/(x^+2xy+y^)/(x+2y)/(2x^+2xy) (x-2xy)*(-xy+2y*y)-(3x*x-2xy)(x-9xy+6y*y) 化简(x²y-4y²)/(x²+4xy+4y²)*[(4xy)/(x-2y)+x x^3y(-4y)^2+(-7xy)^2*(-xy)-5xy^3*(-3x)^2 已知x-y=4xy，则2x+3xy-2yx-2xy-y 计算:4xy-(x+y)^2/xy(x+y)(x-y)÷x^2+xy-2y^2/x^2y+2xy^2