What is (1-e^t+3e^{-4}t)cos^5(t) ?

The solution to (1-e^t+3e^{-4}t)cos^5(t) is cos^5(t)(1-e^t+(3t)/(e^4))

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simplify (1-e^t+3e^{-4}t)cos^5(t)

simplify

(1 - e^{t} + 3 e^{- 4} t) cos^{5} (t)

cos^{5} (t) (1 - e^{t} + \frac{3 t}{e ^{4}})

Solution steps

(1 - e^{t} + 3 e^{- 4} t) cos^{5} (t)

3 e^{- 4} t = \frac{3 t}{e ^{4}}

= cos^{5} (t) (\frac{3 t}{e ^{4}} - e^{t} + 1)

3 \cdot a \cdot b^{9}

(x + 1) (a + b)

x^{7} - 3 x^{5} + 2 x^{2}

1 + 4 x^{2} + 16 x^{1}

6 \cdot (x + 2 y)^{3} - 8 \cdot (x + 2 y)^{2} + 4 (x + 2 y)

What is (1-e^t+3e^{-4}t)cos^5(t) ?
The solution to (1-e^t+3e^{-4}t)cos^5(t) is cos^5(t)(1-e^t+(3t)/(e^4))