What is expand ((s+1)(1+50s))/(25(s^2+150s+2)) ?

The solution to expand ((s+1)(1+50s))/(25(s^2+150s+2)) is (50s^2+51s+1)/(25s^2+3750s+50)

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expand ((s+1)(1+50s))/(25(s^2+150s+2))

expand

\frac{( s + 1 ) ( 1 + 50 s )}{25 ( s ^{2} + 150 s + 2 )}

\frac{50 s ^{2} + 51 s + 1}{25 s ^{2} + 3750 s + 50}

Solution steps

\frac{( s + 1 ) ( 1 + 50 s )}{25 ( s ^{2} + 150 s + 2 )}

Expand

25 (s^{2} + 150 s + 2) : 25 s^{2} + 3750 s + 50

= \frac{( s + 1 ) ( 50 s + 1 )}{25 s ^{2} + 3750 s + 50}

Expand

(s + 1) (1 + 50 s) : 50 s^{2} + 51 s + 1

= \frac{50 s ^{2} + 51 s + 1}{25 s ^{2} + 3750 s + 50}

(2 x + 1) y^{'} (x)

4 (3 x^{2} - 2 x y - 5 y^{2})^{2}

\frac{3}{2} sin (2 x) (3 cos (2 x) - 1)

\frac{d}{d x} ((x + 6) \cdot e^{3 x}) + 4

What is expand ((s+1)(1+50s))/(25(s^2+150s+2)) ?
The solution to expand ((s+1)(1+50s))/(25(s^2+150s+2)) is (50s^2+51s+1)/(25s^2+3750s+50)