What is ((3x^2-4x))/(x^3) ?

The solution to ((3x^2-4x))/(x^3) is (3x-4)/(x^2)

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simplify ((3x^2-4x))/(x^3)

simplify

\frac{( 3 x ^{2} - 4 x )}{x ^{3}}

\frac{3 x - 4}{x ^{2}}

Solution steps

\frac{3 x ^{2} - 4 x}{x ^{3}}

Factor

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

= \frac{x ( 3 x - 4 )}{x ^{3}}

Apply exponent rule:

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

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

= \frac{x ( 3 x - 4 )}{x x ^{2}}

Cancel the common factor:

x

= \frac{3 x - 4}{x ^{2}}

5 + - 36

- 8^{1}

4 \times \frac{3}{10}

- 3 \cdot 8