化简题

题目

化简题
（X-Y)^2×(X^2+XY+Y^2)-(X^3+Y^3)(-X^3+Y^3)

答案

（X-Y)^2×(X^2+XY+Y^2)-(X^3+Y^3)(-X^3+Y^3)
=(x^3-y^3)(x-y)+(x^3+y^3)(x^3-y^3)
=(x^3-y^3)(x^3+y^3+x+y)
=x^6-y^6+x^4-y^4-xy^3+x^3y