What is expand (x+1)*3e^x ?

The solution to expand (x+1)*3e^x is 3e^xx+3e^x

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expand (x+1)*3e^x

expand

(x + 1) \cdot 3 e^{x}

3 e^{x} x + 3 e^{x}

Solution steps

(x + 1) \cdot 3 e^{x}

= 3 e^{x} (x + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 3 e^{x}, b = x, c = 1

= 3 e^{x} x + 3 e^{x} \cdot 1

= 3 e^{x} x + 3 \cdot 1 \cdot e^{x}

Multiply the numbers:

3 \cdot 1 = 3

= 3 e^{x} x + 3 e^{x}

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