What is expand ((10+s)(20000+s))/(200000) ?

The solution to expand ((10+s)(20000+s))/(200000) is (s^2)/(200000)+(2001s)/(20000)+1

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expand ((10+s)(20000+s))/(200000)

expand

\frac{( 10 + s ) ( 20000 + s )}{200000}

\frac{s ^{2}}{200000} + \frac{2001 s}{20000} + 1

Solution steps

\frac{( 10 + s ) ( 20000 + s )}{200000}

Expand

(10 + s) (20000 + s) : 200000 + 20010 s + s^{2}

= \frac{200000 + 20010 s + s ^{2}}{200000}

Apply the fraction rule:

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

\frac{200000 + 20010 s + s ^{2}}{200000} = \frac{200000}{200000} + \frac{20010 s}{200000} + \frac{s ^{2}}{200000}

= \frac{200000}{200000} + \frac{20010 s}{200000} + \frac{s ^{2}}{200000}

Apply rule

\frac{a}{a} = 1

\frac{200000}{200000} = 1

= 1 + \frac{20010 s}{200000} + \frac{s ^{2}}{200000}

Cancel

\frac{20010 s}{200000} : \frac{2001 s}{20000}

= 1 + \frac{2001 s}{20000} + \frac{s ^{2}}{200000}

Rewrite in standard form

= \frac{s ^{2}}{200000} + \frac{2001 s}{20000} + 1

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What is expand ((10+s)(20000+s))/(200000) ?
The solution to expand ((10+s)(20000+s))/(200000) is (s^2)/(200000)+(2001s)/(20000)+1