What is expand (e^x+2)(e^x-2) ?

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

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expand (e^x+2)(e^x-2)

expand

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

e^{2 x} - 4

Solution steps

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

Apply Difference of Two Squares Formula:

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

a = e^{x}, b = 2

= (e^{x})^{2} - 2^{2}

Simplify

(e^{x})^{2} - 2^{2} : e^{2 x} - 4

= e^{2 x} - 4

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

\frac{( b + k x ^{2} ) ( b - k x ^{2} )}{2}

- 2^{8}

- 5 \cdot (- 1)

\frac{2}{5 ( 2 x - 7 )}

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