What is expand e^{x+2}(2x+2) ?

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

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

expand

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

2 e^{x + 2} x + 2 e^{x + 2}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x + 2}, b = 2 x, c = 2

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

= 2 e^{x + 2} x + 2 e^{x + 2}

\frac{( x + 5 )}{( x + 2 ) ( x + 3 ) ( x + 4 )}

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