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

The solution to expand (2e^{-3t}+e^{3t})^2 is 4e^{-6t}+4+e^{6t}

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

expand

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

4 e^{- 6 t} + 4 + e^{6 t}

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = 2 e^{- 3 t}, b = e^{3 t}

= (2 e^{- 3 t})^{2} + 2 \cdot 2 e^{- 3 t} e^{3 t} + (e^{3 t})^{2}

Simplify

(2 e^{- 3 t})^{2} + 2 \cdot 2 e^{- 3 t} e^{3 t} + (e^{3 t})^{2} : 4 e^{- 6 t} + 4 + e^{6 t}

= 4 e^{- 6 t} + 4 + e^{6 t}

\frac{1 - x ^{2}}{x ^{3} ( x ^{2} + 2 )}

e^{8 t} (t^{2} + 7 t + 6)

\frac{a}{s ^{2} ( s + b )}

A (3, - 1) y B (0, 1)

d (e^{x^{2}} + 4 x)

What is expand (2e^{-3t}+e^{3t})^2 ?
The solution to expand (2e^{-3t}+e^{3t})^2 is 4e^{-6t}+4+e^{6t}