What is ((a^5+b^5))/((a+b)) ?

The solution to ((a^5+b^5))/((a+b)) is a^4-a^3b+a^2b^2-ab^3+b^4

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simplify ((a^5+b^5))/((a+b))

simplify

\frac{( a ^{5} + b ^{5} )}{( a + b )}

a^{4} - a^{3} b + a^{2} b^{2} - a b^{3} + b^{4}

Solution steps

\frac{a ^{5} + b ^{5}}{a + b}

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

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

Cancel the common factor:

a + b

= a^{4} - a^{3} b + a^{2} b^{2} - a b^{3} + b^{4}

\frac{a ^{4}}{a ^{3}}

s^{3} sin (2 t + \frac{7}{8}) + 3 sin (2 t - \frac{7}{8})

a^{6} b^{3} - 1

5 x - x y + 15 - 3 y

y^{2} + 9 x y

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