Question

(x+y).(x²-xy+y²)-(x√x - y√y).(x√x + y√y)
Me ajudem por favor!

Answer 1

$(x+y).( x^2 -xy+y^2)-(x \sqrt{x} -y \sqrt{y}).(x \sqrt{x} +y \sqrt{y})$

$(x.x^2 -x.x.y + x.y^2 +y.x^2- y.y.x + y.y^2)-((x \sqrt{x} )^2 - (y \sqrt{y})^2) \\ (x^3 - x^2.y +x.y^2 +y.x^2 - x.y^2 + y^3)-(x^2.x - y^2.y) \\ x^3 - x^2.y +x.y^2 +y.x^2 - x.y^2 + y^3 - x^3 + y^3 \\ x^3 - x^3 -x^2.y +y.x^2 + x.y^2 - x.y^2 + y^3 + y^3 \\ 2y^3$