What is ((x^3+8))/((x+2)) ?

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

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simplify ((x^3+8))/((x+2))

simplify

\frac{( x ^{3} + 8 )}{( x + 2 )}

x^{2} - 2 x + 4

Solution steps

\frac{x ^{3} + 8}{x + 2}

Factor

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

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

Cancel the common factor:

x + 2

= x^{2} - 2 x + 4

(7 a^{2} - b) (3 a - 2 b)

\frac{3 x + 18}{x ^{2} + 6 x}

(x - 7) (x - 19)

3 \cdot (- \frac{1}{3})

\frac{7 + 3 i}{- 2 + 6 i}