What is (9x^3)/(18x^3-36x^2) ?

The solution to (9x^3)/(18x^3-36x^2) is x/(2(x-2))

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simplify (9x^3)/(18x^3-36x^2)

simplify

\frac{9 x ^{3}}{18 x ^{3} - 36 x ^{2}}

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

Solution steps

\frac{9 x ^{3}}{18 x ^{3} - 36 x ^{2}}

Factor

18 x^{3} - 36 x^{2} : 18 x^{2} (x - 2)

= \frac{9 x ^{3}}{18 x ^{2} ( x - 2 )}

Factor the number:

18 = 9 \cdot 2

= \frac{9 x ^{3}}{9 \cdot 2 x ^{2} ( x - 2 )}

Cancel the common factor:

9

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x^{2}

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

\frac{2 x ^{2} + x - 15}{a x + 3 a - 2 b x - 6 b}

33 - 9 i

15 x - 5

\frac{- 12 p ^{7} q ^{5}}{- 15 p q ^{2}}

(100)^{2}

What is (9x^3)/(18x^3-36x^2) ?
The solution to (9x^3)/(18x^3-36x^2) is x/(2(x-2))