What is ((x^5-a^5))/((x-a)) ?

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

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simplify ((x^5-a^5))/((x-a))

simplify

\frac{( x ^{5} - a ^{5} )}{( x - a )}

x^{4} + x^{3} a + x^{2} a^{2} + x a^{3} + a^{4}

Solution steps

\frac{x ^{5} - a ^{5}}{x - a}

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

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

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

Cancel the common factor:

x - a

= x^{4} + x^{3} a + x^{2} a^{2} + x a^{3} + a^{4}

- 73 - 3

(25 z^{4})^{- \frac{3}{2}}

(9 - 5 i) - (- 6 + 10 i)

12 + (- 5)

\frac{x}{1 - x}

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