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

The solution to (8x^3)/(24x^2+24x) is (x^2)/(3(x+1))

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

simplify

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

\frac{x ^{2}}{3 ( x + 1 )}

Solution steps

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

Factor

24 x^{2} + 24 x : 24 x (x + 1)

= \frac{8 x ^{3}}{24 x ( x + 1 )}

Factor the number:

24 = 8 \cdot 3

= \frac{8 x ^{3}}{8 \cdot 3 x ( x + 1 )}

Cancel the common factor:

8

= \frac{x ^{3}}{3 x ( x + 1 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{3} = x x^{2}

= \frac{x x ^{2}}{3 x ( x + 1 )}

Cancel the common factor:

x

= \frac{x ^{2}}{3 ( x + 1 )}

1 - 1728 y^{6}

- \frac{1}{25}

9 w - 3 (- w - 8)

(z + 2)^{2} - 5 (z + 2)

\frac{2 ^{2} 2 ^{7}}{2 ^{3}}

What is (8x^3)/(24x^2+24x) ?
The solution to (8x^3)/(24x^2+24x) is (x^2)/(3(x+1))