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

lo g_{2} (30)

\frac{2}{x ^{2} - 49} - \frac{7}{x - 7}

(- 2 - x)^{2}

2 (x + h)^{3}

\frac{x ^{2} - 6 x + 9}{x ^{2} - 9}