计算[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y如题

计算[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y如题
计算[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y
如题

计算[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y如题
[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y
=(x^3y^2-x^2y-x^2y+x^3y^2)/3x^2y
=(2x^3y^2-2x^2y)/3x^2y
=2x^3y^2/3x^2y-2x^2y/3x^2y
=(2xy-2)/3

原式=x^4+x+x+1
=x(x³+1)+(x+1)
=x(x+1)(x²-x+1)+(x+1)
=(x+1)(x³-x²+x+1)
3（x-y）-2（x+y）+2
=3x-3y-2x-2y+2
=x-5y+2
=-2-5×3/4+2
=-15/4