What is simplify-2/(1+1/s+\frac{2s){2s+1}} ?

The solution to simplify-2/(1+1/s+\frac{2s){2s+1}} is -(2s(2s+1))/(4s^2+3s+1)

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simplify-2/(1+1/s+\frac{2s){2s+1}}

simplify

- \frac{2}{1 + \frac{1}{s} + \frac{2 s}{2 s + 1}}

- \frac{2 s ( 2 s + 1 )}{4 s ^{2} + 3 s + 1}

Solution steps

- \frac{2}{1 + \frac{1}{s} + \frac{2 s}{2 s + 1}}

Join

1 + \frac{1}{s} + \frac{2 s}{2 s + 1} : \frac{4 s ^{2} + 3 s + 1}{s ( 2 s + 1 )}

= - \frac{2}{\frac{4 s ^{2} + 3 s + 1}{s ( 2 s + 1 )}}

Apply the fraction rule:

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

\frac{2}{\frac{4 s ^{2} + 3 s + 1}{s ( 2 s + 1 )}} = \frac{2 s ( 2 s + 1 )}{4 s ^{2} + 3 s + 1}

= - \frac{2 s ( 2 s + 1 )}{4 s ^{2} + 3 s + 1}

(x^{4} + 5 x + 9 x^{2}) - (x^{4} + 4 x^{2} - 4)

(2 x - 7) (2 x^{2} + 4 x + 3)

(6 + 4 i)^{2}

9 \times 18

9 \times (- 5)

What is simplify-2/(1+1/s+\frac{2s){2s+1}} ?
The solution to simplify-2/(1+1/s+\frac{2s){2s+1}} is -(2s(2s+1))/(4s^2+3s+1)