What is (8x^3+24x)/(4x^2+12) ?

The solution to (8x^3+24x)/(4x^2+12) is 2x

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simplify (8x^3+24x)/(4x^2+12)

simplify

\frac{8 x ^{3} + 24 x}{4 x ^{2} + 12}

2 x

Solution steps

\frac{8 x ^{3} + 24 x}{4 x ^{2} + 12}

Factor

8 x^{3} + 24 x : 8 x (x^{2} + 3)

= \frac{8 x ( x ^{2} + 3 )}{4 x ^{2} + 12}

Factor

4 x^{2} + 12 : 4 (x^{2} + 3)

= \frac{8 x ( x ^{2} + 3 )}{4 ( x ^{2} + 3 )}

Cancel the common factor:

x^{2} + 3

= \frac{8 x}{4}

Divide the numbers:

\frac{8}{4} = 2

= 2 x

4 \frac{1}{2} \div \frac{3}{4}

y - 3 y

s^{4} + 5 s^{2} + 4

\frac{5 x + 1}{x ^{2} + 5 x - 6} - \frac{1}{x + 6}

\frac{3}{2} x^{\frac{1}{2}}