What is expand 4e^{2x}(e^{2x}-1) ?

The solution to expand 4e^{2x}(e^{2x}-1) is 4e^{4x}-4e^{2x}

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expand 4e^{2x}(e^{2x}-1)

expand

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

4 e^{4 x} - 4 e^{2 x}

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = 4 e^{2 x}, b = e^{2 x}, c = 1

= 4 e^{2 x} e^{2 x} - 4 e^{2 x} \cdot 1

= 4 e^{2 x} e^{2 x} - 4 \cdot 1 \cdot e^{2 x}

Simplify

4 e^{2 x} e^{2 x} - 4 \cdot 1 \cdot e^{2 x} : 4 e^{4 x} - 4 e^{2 x}

= 4 e^{4 x} - 4 e^{2 x}

(1 + \frac{32}{x - 22}) (x - 22)

\frac{12}{( x + 4 ) ( x - 3 )}

(x + 4 + \frac{4}{x}) x^{2}

(- y + 3)^{2}

What is expand 4e^{2x}(e^{2x}-1) ?
The solution to expand 4e^{2x}(e^{2x}-1) is 4e^{4x}-4e^{2x}