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Popular >

expand ((3s+1)e^{-2s})/((4s+1)(10s+2)(2s))

Solution

expand

\frac{( 3 s + 1 ) e ^{- 2 s}}{( 4 s + 1 ) ( 10 s + 2 ) ( 2 s )}

Solution

\frac{3 e ^{- 2 s} s + e ^{- 2 s}}{80 s ^{3} + 36 s ^{2} + 4 s}

Solution steps

\frac{( 3 s + 1 ) e ^{- 2 s}}{( 4 s + 1 ) ( 10 s + 2 ) ( 2 s )}

Remove parentheses:

(a) = a

= \frac{( 3 s + 1 ) e ^{- 2 s}}{( 4 s + 1 ) ( 10 s + 2 ) \cdot 2 s}

Expand

(4 s + 1) (10 s + 2) \cdot 2 s : 80 s^{3} + 36 s^{2} + 4 s

= \frac{e ^{- 2 s} ( 3 s + 1 )}{80 s ^{3} + 36 s ^{2} + 4 s}

Expand

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

= \frac{3 e ^{- 2 s} s + e ^{- 2 s}}{80 s ^{3} + 36 s ^{2} + 4 s}

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Frequently Asked Questions (FAQ)

What is expand ((3s+1)e^{-2s})/((4s+1)(10s+2)(2s)) ?
The solution to expand ((3s+1)e^{-2s})/((4s+1)(10s+2)(2s)) is (3e^{-2s}s+e^{-2s})/(80s^3+36s^2+4s)