What is ((x-2)(x^2+2x+4)-x)/((x^2-2)) ?

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

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simplify ((x-2)(x^2+2x+4)-x)/((x^2-2))

simplify

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

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

Solution steps

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

Distribute parentheses

= \frac{x x ^{2} + x \cdot 2 x + x \cdot 4 - 2 x ^{2} - 2 \cdot 2 x - 2 \cdot 4 - x}{x ^{2} - 2}

Simplify

x x^{2} + x \cdot 2 x + x \cdot 4 - 2 x^{2} - 2 \cdot 2 x - 2 \cdot 4 : x^{3} - 8

= \frac{x ^{3} - 8 - x}{x ^{2} - 2}

1 o + 9

(x + 2 x)^{3}

(\frac{( 27 x ^{12} )}{( 64 y ^{3} )})^{\frac{- 1}{3}}

(\frac{( x ^{- 4} )}{( 4 y ^{6} )})^{\frac{1}{2}}

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

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