What is (x+a)(x-a)(x^2+a^2)(x^4+a^4)+a^8 ?

The solution to (x+a)(x-a)(x^2+a^2)(x^4+a^4)+a^8 is x^8

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simplify (x+a)(x-a)(x^2+a^2)(x^4+a^4)+a^8

simplify

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

x^{8}

Solution steps

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

Expand

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

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

Add similar elements:

- a^{8} + a^{8} = 0

= x^{8}

det (b^{- 1} a^{- 1})

(a^{2} - b^{2})^{3} + (b^{2} - c^{2})^{3}! (c^{3} - a^{3})^{3}

2^{n} + 3 - 2 (x^{2})^{n}

a^{3} - 23 a^{2} + 142 a - 120

(5 x^{3} \cdot y^{2} - x)^{3}

What is (x+a)(x-a)(x^2+a^2)(x^4+a^4)+a^8 ?
The solution to (x+a)(x-a)(x^2+a^2)(x^4+a^4)+a^8 is x^8