What is expand (Ae^{-kx}+Ae^{kx})^2 ?

The solution to expand (Ae^{-kx}+Ae^{kx})^2 is A^2e^{-2kx}+2A^2+A^2e^{2kx}

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expand (Ae^{-kx}+Ae^{kx})^2

expand

(A e^{- k x} + A e^{k x})^{2}

A^{2} e^{- 2 k x} + 2 A^{2} + A^{2} e^{2 k x}

Solution steps

(A e^{- k x} + A e^{k x})^{2}

Apply Perfect Square Formula:

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

a = A e^{- k x}, b = A e^{k x}

= (A e^{- k x})^{2} + 2 A e^{- k x} A e^{k x} + (A e^{k x})^{2}

Simplify

(A e^{- k x})^{2} + 2 A e^{- k x} A e^{k x} + (A e^{k x})^{2} : A^{2} e^{- 2 k x} + 2 A^{2} + A^{2} e^{2 k x}

= A^{2} e^{- 2 k x} + 2 A^{2} + A^{2} e^{2 k x}

1 - x^{2} + (π - arccos (x)) x

(x - 2) (x - 1)^{'}

(x + x^{2}) \cdot x ln (x) - x

\frac{3 ( y + 2 )}{x}

- \frac{1}{( ba - a ) ( a + ab )}

What is expand (Ae^{-kx}+Ae^{kx})^2 ?
The solution to expand (Ae^{-kx}+Ae^{kx})^2 is A^2e^{-2kx}+2A^2+A^2e^{2kx}