What is expand ((x+5)(x+8))/(70) ?

The solution to expand ((x+5)(x+8))/(70) is (x^2)/(70)+(13x)/(70)+4/7

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expand ((x+5)(x+8))/(70)

expand

\frac{( x + 5 ) ( x + 8 )}{70}

\frac{x ^{2}}{70} + \frac{13 x}{70} + \frac{4}{7}

Solution steps

\frac{( x + 5 ) ( x + 8 )}{70}

Expand

(x + 5) (x + 8) : x^{2} + 13 x + 40

= \frac{x ^{2} + 13 x + 40}{70}

Apply the fraction rule:

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

\frac{x ^{2} + 13 x + 40}{70} = \frac{x ^{2}}{70} + \frac{13 x}{70} + \frac{40}{70}

= \frac{x ^{2}}{70} + \frac{13 x}{70} + \frac{40}{70}

Cancel

\frac{40}{70} : \frac{4}{7}

= \frac{x ^{2}}{70} + \frac{13 x}{70} + \frac{4}{7}

\frac{e ^{- t (s - 1)}}{s - 1}

\frac{3 x ( x - 1 )}{6 x ^{2} - 41 x - 7}

(8^{2})^{x + 3}

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

\frac{2 s + 10}{s ( s ^{2} + 2 s + 10 )}

What is expand ((x+5)(x+8))/(70) ?
The solution to expand ((x+5)(x+8))/(70) is (x^2)/(70)+(13x)/(70)+4/7