What is (x^2-2x)/(5x^3) ?

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

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simplify (x^2-2x)/(5x^3)

simplify

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

\frac{x - 2}{5 x ^{2}}

Solution steps

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

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x

= \frac{x - 2}{5 x ^{2}}

2 r^{2} + 15 r + 7

\frac{3}{4} \times \frac{4}{5}

\frac{1}{1 - \frac{1}{e}}

75 x^{7}

\frac{2 π}{\frac{3}{8}}