化简 (x+a)(x-a)(x^2+a^2)(x^4+a^4)+a^8

解答

化简

(x + a) (x - a) (x^{2} + a^{2}) (x^{4} + a^{4}) + a^{8}

x^{8}

求解步骤

(x + a) (x - a) (x^{2} + a^{2}) (x^{4} + a^{4}) + a^{8}

展开

(x + a) (x - a) (x^{2} + a^{2}) (x^{4} + a^{4}) : x^{8} - a^{8}

= x^{8} - a^{8} + a^{8}

s im pl i f y det (b^{- 1} a^{- 1})

e x p an d (a^{2} - b^{2})^{3} + (b^{2} - c^{2})^{3}! (c^{3} - a^{3})^{3}

s im pl i f y 2^{n} + 3 - 2 (x^{2})^{n}

f a c t or a^{3} - 23 a^{2} + 142 a - 120

e x p an d (5 x^{3} \cdot y^{2} - x)^{3}