What is (3x^3-12x)/(x^2-4) ?

The solution to (3x^3-12x)/(x^2-4) is 3x

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simplify (3x^3-12x)/(x^2-4)

simplify

\frac{3 x ^{3} - 12 x}{x ^{2} - 4}

3 x

Solution steps

\frac{3 x ^{3} - 12 x}{x ^{2} - 4}

Factor

3 x^{3} - 12 x : 3 x (x + 2) (x - 2)

= \frac{3 x ( x + 2 ) ( x - 2 )}{x ^{2} - 4}

Factor

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

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

Cancel the common factor:

x + 2

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

Cancel the common factor:

x - 2

= 3 x

\frac{1}{2} x^{2} - x - 4

(- e^{t})^{2}

x^{3 + 1}

537829729

\frac{33}{20}