What is (9x^2-81x)/(3x^3) ?

The solution to (9x^2-81x)/(3x^3) is (3(x-9))/(x^2)

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simplify (9x^2-81x)/(3x^3)

simplify

\frac{9 x ^{2} - 81 x}{3 x ^{3}}

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

Solution steps

\frac{9 x ^{2} - 81 x}{3 x ^{3}}

Factor

9 x^{2} - 81 x : 9 x (x - 9)

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

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x

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

1 + \frac{2197}{52}

12 \cdot 1 0^{- 3}

70 \cdot 5

\frac{3}{x + 6} + \frac{2}{x - 2} + \frac{x + 30}{x ^{2} + 4 x - 12}

\frac{\frac{m}{m}}{s t}