What is expand (e^{-2s}(t+2)+3)/((s+2)(s+5)) ?

The solution to expand (e^{-2s}(t+2)+3)/((s+2)(s+5)) is (e^{-2s}t+2e^{-2s}+3)/(s^2+7s+10)

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expand (e^{-2s}(t+2)+3)/((s+2)(s+5))

expand

\frac{e ^{- 2 s} ( t + 2 ) + 3}{( s + 2 ) ( s + 5 )}

\frac{e ^{- 2 s} t + 2 e ^{- 2 s} + 3}{s ^{2} + 7 s + 10}

Solution steps

\frac{e ^{- 2 s} ( t + 2 ) + 3}{( s + 2 ) ( s + 5 )}

Expand

(s + 2) (s + 5) : s^{2} + 7 s + 10

= \frac{e ^{- 2 s} ( t + 2 ) + 3}{s ^{2} + 7 s + 10}

Expand

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

= \frac{e ^{- 2 s} t + 2 e ^{- 2 s} + 3}{s ^{2} + 7 s + 10}

(csc (x) + 1) (sec (x) - tan (x))

(x - \frac{1}{3}) (x + 6)

15 (1 + lo g_{2} (5))

2 (\frac{2 ( x - 3 ) ^{\frac{5}{2}}}{5} + 2 (x - 3)^{\frac{3}{2}}) + C

x^{\frac{1}{2}} (2 + x)

What is expand (e^{-2s}(t+2)+3)/((s+2)(s+5)) ?
The solution to expand (e^{-2s}(t+2)+3)/((s+2)(s+5)) is (e^{-2s}t+2e^{-2s}+3)/(s^2+7s+10)