What is (x^2-4x)/(6x^3) ?

The solution to (x^2-4x)/(6x^3) is (x-4)/(6x^2)

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simplify (x^2-4x)/(6x^3)

simplify

\frac{x ^{2} - 4 x}{6 x ^{3}}

\frac{x - 4}{6 x ^{2}}

Solution steps

\frac{x ^{2} - 4 x}{6 x ^{3}}

Factor

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

= \frac{x ( x - 4 )}{6 x ^{3}}

Apply exponent rule:

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

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

= \frac{x ( x - 4 )}{6 x x ^{2}}

Cancel the common factor:

x

= \frac{x - 4}{6 x ^{2}}

9 - - 100 - 36 + - 9

\frac{400}{12}

3 x^{3} + x^{3}

981

49 x^{2} - 16 y^{2}