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

The solution to ((x^5-y^5))/((x-y)) is x^4+x^3y+x^2y^2+xy^3+y^4

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

simplify

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

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

Solution steps

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

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

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

Cancel the common factor:

x - y

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

(2 r)^{3}

64 x^{2} + 48 x y + 9 y^{2}

\frac{( \frac{π}{2} ) ^{2}}{π}

a^{3} + 2 a^{2} + 4 a + 8

\frac{1}{x - 1} + 1

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