What is ((x^3+27))/((x+3)) ?

The solution to ((x^3+27))/((x+3)) is x^2-3x+9

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simplify ((x^3+27))/((x+3))

simplify

\frac{( x ^{3} + 27 )}{( x + 3 )}

x^{2} - 3 x + 9

Solution steps

\frac{x ^{3} + 27}{x + 3}

Factor

x^{3} + 27 : (x + 3) (x^{2} - 3 x + 9)

= \frac{( x + 3 ) ( x ^{2} - 3 x + 9 )}{x + 3}

Cancel the common factor:

x + 3

= x^{2} - 3 x + 9

5 \frac{1}{16}

(2 x + 1) (3 x - 4)

\frac{35}{18}

0^{2} + 1

(1 - \frac{1}{2})^{2}