What is expand (k(s+2)(s+1))/((s-2)(s-1)) ?

The solution to expand (k(s+2)(s+1))/((s-2)(s-1)) is (ks^2+3ks+2k)/(s^2-3s+2)

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expand (k(s+2)(s+1))/((s-2)(s-1))

expand

\frac{k ( s + 2 ) ( s + 1 )}{( s - 2 ) ( s - 1 )}

\frac{k s ^{2} + 3 k s + 2 k}{s ^{2} - 3 s + 2}

Solution steps

\frac{k ( s + 2 ) ( s + 1 )}{( s - 2 ) ( s - 1 )}

Expand

(s - 2) (s - 1) : s^{2} - 3 s + 2

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

Expand

k (s + 2) (s + 1) : k s^{2} + 3 k s + 2 k

= \frac{k s ^{2} + 3 k s + 2 k}{s ^{2} - 3 s + 2}

6 (x + 5)

(cos (x) - 1) (2 sin (x) + 1)

(\frac{7}{x - 12} + 6 (100 - x)) (x - 12)

\frac{5}{7} \cdot (1 + ln (\frac{7}{5}))

sin (x) (1 - cos (x)) (1 + sec (x))

What is expand (k(s+2)(s+1))/((s-2)(s-1)) ?
The solution to expand (k(s+2)(s+1))/((s-2)(s-1)) is (ks^2+3ks+2k)/(s^2-3s+2)