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

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

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factor a^{10}+b^{10}

factor

a^{10} + b^{10}

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

Solution steps

a^{10} + b^{10}

Apply exponent rules

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

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

125 p^{3} + q^{3}

5 x^{3} \cdot y^{3} + 2 x \cdot y^{2}

(sin (x)) \cdot [sin (x)]^{2} \cdot lo g_{1 + s i n (x)} (2)

(x + 3) 2 + (y - 5) 2

(2 x + 3 y)^{3} - 5 (2 x + 3 y)

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