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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

P (4, - 3) y Q (- 2, 0)

e^{t} (t e^{t} + e^{t})

A (4, 7) B (- 5, - 2)

\frac{3 ( x - 1 )}{10}

\frac{n + 2}{n ( n + 1 ) 2 ^{n + 1}}

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