What is expand (1000(s+k))/(sk) ?

The solution to expand (1000(s+k))/(sk) is (1000)/k+(1000)/s

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expand (1000(s+k))/(sk)

expand

\frac{1000 ( s + k )}{s k}

\frac{1000}{k} + \frac{1000}{s}

Solution steps

\frac{1000 ( s + k )}{s k}

Expand

1000 (s + k) : 1000 s + 1000 k

= \frac{1000 s + 1000 k}{k s}

Apply the fraction rule:

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

\frac{1000 s + 1000 k}{s k} = \frac{1000 s}{s k} + \frac{1000 k}{s k}

= \frac{1000 s}{k s} + \frac{1000 k}{k s}

Cancel

\frac{1000 s}{s k} : \frac{1000}{k}

= \frac{1000}{k} + \frac{1000 k}{k s}

Cancel

\frac{1000 k}{s k} : \frac{1000}{s}

= \frac{1000}{k} + \frac{1000}{s}

sin (10 π + \frac{5 π}{4})

\frac{π}{0}

\frac{s ^{2} + 2}{( s ^{2} + 1 ) ( s ^{2} + 6 )}

\frac{d}{d x} ((t) (cos (t) + 8 t + 2 sin (3 t)))

\frac{4 x y}{( x ^{2} + 1 ) ( y ^{2} + 1 )}

What is expand (1000(s+k))/(sk) ?
The solution to expand (1000(s+k))/(sk) is (1000)/k+(1000)/s