What is expand (2e^x+2)*(e^x+2x+3) ?

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

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expand (2e^x+2)*(e^x+2x+3)

expand

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

2 e^{2 x} + 4 e^{x} x + 8 e^{x} + 4 x + 6

Solution steps

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

Distribute parentheses

= 2 e^{x} e^{x} + 2 e^{x} \cdot 2 x + 2 e^{x} \cdot 3 + 2 e^{x} + 2 \cdot 2 x + 2 \cdot 3

= 2 e^{x} e^{x} + 2 \cdot 2 e^{x} x + 2 \cdot 3 e^{x} + 2 e^{x} + 2 \cdot 2 x + 2 \cdot 3

Simplify

2 e^{x} e^{x} + 2 \cdot 2 e^{x} x + 2 \cdot 3 e^{x} + 2 e^{x} + 2 \cdot 2 x + 2 \cdot 3 : 2 e^{2 x} + 4 e^{x} x + 8 e^{x} + 4 x + 6

= 2 e^{2 x} + 4 e^{x} x + 8 e^{x} + 4 x + 6

\frac{2 ( - 6 + 4 y )}{3}

\frac{11684.4 y}{x ( x + y )}

(e^{- 2 x} + 1)^{3}

(x + y = 6,) - (x + 2 y = 7)

\frac{144 ( r + 144 )}{r}

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