Question

分解因式：x的6次方+y的6次方—（x的4次方乘以y的2次方+x的2次方乘以y的4次方）

Answer 1

x^6+y^6-(x^4y^2+x^2y^4)
=(x^6-x^4y^2)+(y^6-x^2y^4)
=x^4(x^2-y^2)-y^4(x^2-y^2)
=(x^2-y^2)(x^4-y^4)
=(x^2-y^2)^2(x^2+y^2)
=(x+y)^2(x-y)^2(x^2+y^2)