What is expand 4((e^{3/2})/2+1) ?

The solution to expand 4((e^{3/2})/2+1) is 2e^{3/2}+4

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expand 4((e^{3/2})/2+1)

expand

4 (\frac{e ^{\frac{3}{2}}}{2} + 1)

2 e^{\frac{3}{2}} + 4

Solution steps

4 (\frac{e ^{\frac{3}{2}}}{2} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 4, b = \frac{e ^{\frac{3}{2}}}{2}, c = 1

= 4 \cdot \frac{e ^{\frac{3}{2}}}{2} + 4 \cdot 1

Simplify

4 \cdot \frac{e ^{\frac{3}{2}}}{2} + 4 \cdot 1 : 2 e^{\frac{3}{2}} + 4

= 2 e^{\frac{3}{2}} + 4

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What is expand 4((e^{3/2})/2+1) ?
The solution to expand 4((e^{3/2})/2+1) is 2e^{3/2}+4