What is expand f(s)[(1+e^{2t})^2] ?

The solution to expand f(s)[(1+e^{2t})^2] is fs+2e^{2t}fs+e^{4t}fs

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expand f(s)[(1+e^{2t})^2]

expand

f (s) [(1 + e^{2 t})^{2}]

f s + 2 e^{2 t} f s + e^{4 t} f s

Solution steps

f (s) ((1 + e^{2 t})^{2})

Remove parentheses:

(a) = a

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

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

= f s (2 e^{2 t} + e^{4 t} + 1)

Distribute parentheses

= f s \cdot 1 + f s \cdot 2 e^{2 t} + f s e^{4 t}

= 1 \cdot f s + 2 e^{2 t} f s + e^{4 t} f s

Multiply:

1 \cdot f = f

= f s + 2 e^{2 t} f s + e^{4 t} f s

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What is expand f(s)[(1+e^{2t})^2] ?
The solution to expand f(s)[(1+e^{2t})^2] is fs+2e^{2t}fs+e^{4t}fs