What is expand ((x+4)(x+6))/(40) ?

The solution to expand ((x+4)(x+6))/(40) is (x^2)/(40)+x/4+3/5

Popular >

expand ((x+4)(x+6))/(40)

expand

\frac{( x + 4 ) ( x + 6 )}{40}

\frac{x ^{2}}{40} + \frac{x}{4} + \frac{3}{5}

Solution steps

\frac{( x + 4 ) ( x + 6 )}{40}

Expand

(x + 4) (x + 6) : x^{2} + 10 x + 24

= \frac{x ^{2} + 10 x + 24}{40}

Apply the fraction rule:

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

\frac{x ^{2} + 10 x + 24}{40} = \frac{x ^{2}}{40} + \frac{10 x}{40} + \frac{24}{40}

= \frac{x ^{2}}{40} + \frac{10 x}{40} + \frac{24}{40}

Cancel

\frac{10 x}{40} : \frac{x}{4}

= \frac{x ^{2}}{40} + \frac{x}{4} + \frac{24}{40}

Cancel

\frac{24}{40} : \frac{3}{5}

= \frac{x ^{2}}{40} + \frac{x}{4} + \frac{3}{5}

\frac{2 ( 30 + 1155 )}{5}

\frac{s}{2 ( s ^{2} + ( 2 a + 2 k ) ^{2} )}

\frac{2 ( 31546 - 64 )}{549}

\frac{2 6 ( π - 2 )}{3}

\frac{s + 2}{( s ^{2} + 1 ) ^{3}}

What is expand ((x+4)(x+6))/(40) ?
The solution to expand ((x+4)(x+6))/(40) is (x^2)/(40)+x/4+3/5