What is factor a^{10}+x^{10} ?

The solution to factor a^{10}+x^{10} is (a^2+x^2)(a^8+x^8-x^2a^6+x^4a^4-x^6a^2)

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factor a^{10}+x^{10}

factor

a^{10} + x^{10}

(a^{2} + x^{2}) (a^{8} + x^{8} - x^{2} a^{6} + x^{4} a^{4} - x^{6} a^{2})

Solution steps

a^{10} + x^{10}

Apply exponent rules

= (a^{2})^{5} + (x^{2})^{5}

Apply factoring rule:

x^{n} + y^{n} = (x + y) (x^{n - 1} - x^{n - 2} y + \dots - x y^{n - 2} + y^{n - 1}), n i s o dd

(a^{2})^{5} + (x^{2})^{5} = (a^{2} + x^{2}) (a^{8} - x^{2} a^{6} + x^{4} a^{4} - x^{6} a^{2} + x^{8})

= (a^{2} + x^{2}) (a^{8} - x^{2} a^{6} + x^{4} a^{4} - x^{6} a^{2} + x^{8})

= (a^{2} + x^{2}) (a^{8} + x^{8} - x^{2} a^{6} + x^{4} a^{4} - x^{6} a^{2})

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

12 x y^{2} - 24 x^{3} y^{3}

4 x [x [5 x - (6 - x)] - (x - 1) (5 x + 1)] + 4

9.25 (18.4 - 2 x^{1.2})

(\frac{x - 1}{x})^{3}

What is factor a^{10}+x^{10} ?
The solution to factor a^{10}+x^{10} is (a^2+x^2)(a^8+x^8-x^2a^6+x^4a^4-x^6a^2)