What is ((x^3)-(2^3))/(x-2) ?

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

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simplify ((x^3)-(2^3))/(x-2)

simplify

\frac{( x ^{3} ) - ( 2 ^{3} )}{x - 2}

x^{2} + 2 x + 4

Solution steps

\frac{( x ^{3} ) - ( 2 ^{3} )}{x - 2}

Simplify

(x^{3}) - (2^{3}) : x^{3} - 2^{3}

= \frac{x ^{3} - 2 ^{3}}{x - 2}

Factor

x^{3} - 2^{3} : (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

\frac{\frac{13820145}{- p ^{58924239}}}{- d}

a \cdot (b - c)^{3} + b \cdot (c - a)^{3} + c \cdot (a - b)^{3}

\frac{\frac{a}{b}}{( 1 + \frac{a}{b} )}

\frac{m ^{3} n ^{- 5}}{m ^{- 2} n ^{- 2}}

(4 a^{4} + 7 b^{2})^{3}