What is ((x^5+32))/((x+2)) ?

The solution to ((x^5+32))/((x+2)) is x^4-2x^3+4x^2-8x+16

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simplify ((x^5+32))/((x+2))

simplify

\frac{( x ^{5} + 32 )}{( x + 2 )}

x^{4} - 2 x^{3} + 4 x^{2} - 8 x + 16

Solution steps

\frac{x ^{5} + 32}{x + 2}

Factor

x^{5} + 32 : (x + 2) (x^{4} - 2 x^{3} + 4 x^{2} - 8 x + 16)

= \frac{( x + 2 ) ( x ^{4} - 2 x ^{3} + 4 x ^{2} - 8 x + 16 )}{x + 2}

Cancel the common factor:

x + 2

= x^{4} - 2 x^{3} + 4 x^{2} - 8 x + 16

(m^{4} + m^{2} n^{2} + n^{4}) (m^{2} - n^{2})

5 x^{2} - x^{2}

\frac{x ^{2} - 81}{x + 9}

16 x^{8}

\frac{\frac{x ^{2} + 6 x + 8}{x + 4}}{\frac{x ^{2} - 4}{4 x - 8}}

What is ((x^5+32))/((x+2)) ?
The solution to ((x^5+32))/((x+2)) is x^4-2x^3+4x^2-8x+16