What is (3x^3)/(9x^2-45x) ?

The solution to (3x^3)/(9x^2-45x) is (x^2)/(3(x-5))

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simplify (3x^3)/(9x^2-45x)

simplify

\frac{3 x ^{3}}{9 x ^{2} - 45 x}

\frac{x ^{2}}{3 ( x - 5 )}

Solution steps

\frac{3 x ^{3}}{9 x ^{2} - 45 x}

Factor

9 x^{2} - 45 x : 9 x (x - 5)

= \frac{3 x ^{3}}{9 x ( x - 5 )}

Factor the number:

9 = 3 \cdot 3

= \frac{3 x ^{3}}{3 \cdot 3 x ( x - 5 )}

Cancel the common factor:

3

= \frac{x ^{3}}{3 x ( x - 5 )}

Apply exponent rule:

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

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

= \frac{x x ^{2}}{3 x ( x - 5 )}

Cancel the common factor:

x

= \frac{x ^{2}}{3 ( x - 5 )}

\frac{19}{13} \cdot 5

+ \frac{- 2}{3}

2 i^{2} \cdot (3 i)^{3}

(1 + x + x^{2})^{4}

2 \times \frac{2}{2}