因数 x^4-y^4-(x-y)(x+y)

解

因数

x^{4} - y^{4} - (x - y) (x + y)

(x + y) (x - y) (x^{2} + y^{2} - 1)

解答ステップ

x^{4} - y^{4} - (x - y) (x + y)

因数

x^{4} - y^{4} : (x^{2} + y^{2}) (x + y) (x - y)

= (x^{2} + y^{2}) (x + y) (x - y) - (x - y) (x + y)

共通項をくくり出す

(x + y) (x - y) : (x + y) (x - y) (x^{2} + y^{2} - 1)

= (x + y) (x - y) (x^{2} + y^{2} - 1)