What is expand 2cos^2(3t)+2(e^t+1)^2 ?

The solution to expand 2cos^2(3t)+2(e^t+1)^2 is 2cos^2(3t)+2e^{2t}+4e^t+2

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expand 2cos^2(3t)+2(e^t+1)^2

expand

2 cos^{2} (3 t) + 2 (e^{t} + 1)^{2}

2 cos^{2} (3 t) + 2 e^{2 t} + 4 e^{t} + 2

Solution steps

2 cos^{2} (3 t) + 2 (e^{t} + 1)^{2}

(e^{t} + 1)^{2} = e^{2 t} + 2 e^{t} + 1

= 2 cos^{2} (3 t) + 2 (2 e^{t} + e^{2 t} + 1)

Expand

2 (e^{2 t} + 2 e^{t} + 1) : 2 e^{2 t} + 4 e^{t} + 2

= 2 cos^{2} (3 t) + 2 e^{2 t} + 4 e^{t} + 2

8 (\frac{1}{2} ln (2) - \frac{1}{4})

\frac{10}{x ( x + 2 ) ( x + 4 )}

- 2 (x + 1 = - 2 x + 5)

What is expand 2cos^2(3t)+2(e^t+1)^2 ?
The solution to expand 2cos^2(3t)+2(e^t+1)^2 is 2cos^2(3t)+2e^{2t}+4e^t+2