What is (8x^3)/(16x^2-16x) ?

The solution to (8x^3)/(16x^2-16x) is (x^2)/(2(x-1))

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simplify (8x^3)/(16x^2-16x)

simplify

\frac{8 x ^{3}}{16 x ^{2} - 16 x}

\frac{x ^{2}}{2 ( x - 1 )}

Solution steps

\frac{8 x ^{3}}{16 x ^{2} - 16 x}

Factor

16 x^{2} - 16 x : 16 x (x - 1)

= \frac{8 x ^{3}}{16 x ( x - 1 )}

Factor the number:

16 = 8 \cdot 2

= \frac{8 x ^{3}}{8 \cdot 2 x ( x - 1 )}

Cancel the common factor:

8

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

Apply exponent rule:

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

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

= \frac{x x ^{2}}{2 x ( x - 1 )}

Cancel the common factor:

x

= \frac{x ^{2}}{2 ( x - 1 )}

\frac{1}{\frac{s i n ( x )}{c o s ( x )}}

\frac{60}{11}

\frac{3 2}{5}

(x^{2} - 3) (x + 4)

5 (6 x^{2} + 7 x) - 14

What is (8x^3)/(16x^2-16x) ?
The solution to (8x^3)/(16x^2-16x) is (x^2)/(2(x-1))