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Popular >

simplify 1+k/((s+1)(s^2+s+1.5))

Solution

simplify

1 + \frac{k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

Solution

\frac{s ^{3} + 2 s ^{2} + 2.5 s + 1.5 + k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

Solution steps

1 + \frac{k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

Apply the fraction rule:

1 + \frac{b}{c} = \frac{c + b}{c}

= \frac{( s + 1 ) ( s ^{2} + s + 1.5 ) + k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

Simplify

(s + 1) (s^{2} + s + 1.5) + k : s^{3} + 2 s^{2} + 2.5 s + 1.5 + k

= \frac{s ^{3} + 2 s ^{2} + 2.5 s + 1.5 + k}{( s + 1 ) ( s ^{2} + s + 1.5 )}

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Frequently Asked Questions (FAQ)

What is 1+k/((s+1)(s^2+s+1.5)) ?
The solution to 1+k/((s+1)(s^2+s+1.5)) is (s^3+2s^2+2.5s+1.5+k)/((s+1)(s^2+s+1.5))