What is expand ((x+12)(x-3))/((x+12)5x) ?

The solution to expand ((x+12)(x-3))/((x+12)5x) is 1/5-3/(5x)

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expand ((x+12)(x-3))/((x+12)5x)

expand

\frac{( x + 12 ) ( x - 3 )}{( x + 12 ) 5 x}

\frac{1}{5} - \frac{3}{5 x}

Solution steps

\frac{( x + 12 ) ( x - 3 )}{( x + 12 ) \cdot 5 x}

Cancel the common factor:

x + 12

= \frac{x - 3}{5 x}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{x - 3}{5 x} = \frac{x}{5 x} - \frac{3}{5 x}

= \frac{x}{5 x} - \frac{3}{5 x}

Cancel

\frac{x}{5 x} : \frac{1}{5}

= \frac{1}{5} - \frac{3}{5 x}

[\frac{1}{( x + 1 ) ^{2}}]^{^{'}}

ln (16) x^{2}

(3 e^{3 x} + 4 e^{- 4 x})^{3}

\frac{a ( b - c )}{d}

(e^{\frac{x}{10}} - e^{- \frac{x}{10}})^{2}

What is expand ((x+12)(x-3))/((x+12)5x) ?
The solution to expand ((x+12)(x-3))/((x+12)5x) is 1/5-3/(5x)