What is expand-2(e^x+1)^2 ?

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

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expand-2(e^x+1)^2

expand

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

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

Solution steps

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

(e^{x} + 1)^{2} = e^{2 x} + 2 e^{x} + 1

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

Distribute parentheses

= (- 2) e^{2 x} + (- 2) \cdot 2 e^{x} + (- 2) \cdot 1

Apply minus-plus rules

+ (- a) = - a

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

Simplify

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

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

\frac{25}{( s - 1 ) ^{3} ( s + 3 )}

(a + b^{'} + c) x + (a + b + c) y

(2 r^{4} + 8 r^{2} + 1)^{5}

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

\frac{1}{3} (- 4000 + 2000 = 5000)

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