What is expand ((x-2)(x+5))/(30) ?

The solution to expand ((x-2)(x+5))/(30) is (x^2)/(30)+x/(10)-1/3

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expand ((x-2)(x+5))/(30)

expand

\frac{( x - 2 ) ( x + 5 )}{30}

\frac{x ^{2}}{30} + \frac{x}{10} - \frac{1}{3}

Solution steps

\frac{( x - 2 ) ( x + 5 )}{30}

Expand

(x - 2) (x + 5) : x^{2} + 3 x - 10

= \frac{x ^{2} + 3 x - 10}{30}

Apply the fraction rule:

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

\frac{x ^{2} + 3 x - 10}{30} = \frac{x ^{2}}{30} + \frac{3 x}{30} - \frac{10}{30}

= \frac{x ^{2}}{30} + \frac{3 x}{30} - \frac{10}{30}

Cancel

\frac{3 x}{30} : \frac{x}{10}

= \frac{x ^{2}}{30} + \frac{x}{10} - \frac{10}{30}

Cancel

\frac{10}{30} : \frac{1}{3}

= \frac{x ^{2}}{30} + \frac{x}{10} - \frac{1}{3}

(2^{4})^{3}

\frac{4}{( s - 3 ) ( s + 1 )}

\frac{5 ( p - 8 )}{416}

\frac{d y}{( y - 2 ) ^{4}}

\frac{( a - 1 ) ( a - 6 )}{3 a}

What is expand ((x-2)(x+5))/(30) ?
The solution to expand ((x-2)(x+5))/(30) is (x^2)/(30)+x/(10)-1/3