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

The solution to expand (e^{3t}+4e^{-2t})^2 is e^{6t}+8e^t+16e^{-4t}

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expand (e^{3t}+4e^{-2t})^2

expand

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

e^{6 t} + 8 e^{t} + 16 e^{- 4 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{3 t}, b = 4 e^{- 2 t}

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

Simplify

(e^{3 t})^{2} + 2 e^{3 t} \cdot 4 e^{- 2 t} + (4 e^{- 2 t})^{2} : e^{6 t} + 8 e^{t} + 16 e^{- 4 t}

= e^{6 t} + 8 e^{t} + 16 e^{- 4 t}

5 (3 + π)

A (5, 1) y B (7, - 7)

cos (x) (sin (x) + 1)

(A^{^{'}} + B) (A + B)

What is expand (e^{3t}+4e^{-2t})^2 ?
The solution to expand (e^{3t}+4e^{-2t})^2 is e^{6t}+8e^t+16e^{-4t}