What is (0.825)/((0.1s+1)(48.07s^2+14.37s+1)) ?

The solution to (0.825)/((0.1s+1)(48.07s^2+14.37s+1)) is (33)/(40(0.1s+1)(48.07s^2+14.37s+1))

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simplify (0.825)/((0.1s+1)(48.07s^2+14.37s+1))

simplify

\frac{0.825}{( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

\frac{33}{40 ( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

Solution steps

\frac{0.825}{( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

Simplify

\frac{0.825}{( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )} : \frac{825}{1000 ( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

= \frac{825}{1000 ( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

Factor the number:

825 = 25 \cdot 33

= \frac{25 \cdot 33}{1000 ( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

Factor the number:

1000 = 25 \cdot 40

= \frac{25 \cdot 33}{25 \cdot 40 ( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

Cancel the common factor:

25

= \frac{33}{40 ( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

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(r cos (θ) - r sin (θ)) (r cos (θ) + r sin (θ))

What is (0.825)/((0.1s+1)(48.07s^2+14.37s+1)) ?
The solution to (0.825)/((0.1s+1)(48.07s^2+14.37s+1)) is (33)/(40(0.1s+1)(48.07s^2+14.37s+1))