What is factor a^5+x^5 ?

The solution to factor a^5+x^5 is (a+x)(a^4+x^4-xa^3+x^2a^2-ax^3)

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factor a^5+x^5

factor

a^{5} + x^{5}

(a + x) (a^{4} + x^{4} - x a^{3} + x^{2} a^{2} - a x^{3})

Solution steps

a^{5} + x^{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^{5} + x^{5} = (a + x) (a^{4} - x a^{3} + x^{2} a^{2} - x^{3} a + x^{4})

= (a + x) (a^{4} - x a^{3} + x^{2} a^{2} - x^{3} a + x^{4})

= (a + x) (a^{4} + x^{4} - x a^{3} + x^{2} a^{2} - a x^{3})

27 x^{3} - y^{3} + 9 x^{2} y - 3 x y^{2}

q^{16} (\frac{( 1 - cos ( x ) )}{( 1 + cos ( x ) )})

x^{3} - 6 x^{2} - 6 x + 1

\frac{( ( x ^{- 3} \cdot x ^{5} ) \cdot ( 3 y ) ^{3} )}{( x ^{- 1} \cdot x ^{2} )}

64 - 125 y^{3} - 24 y + 300 y^{2}

What is factor a^5+x^5 ?
The solution to factor a^5+x^5 is (a+x)(a^4+x^4-xa^3+x^2a^2-ax^3)