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

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

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expand e^{2p+3}(3p+1)

expand

e^{2 p + 3} (3 p + 1)

3 e^{2 p + 3} p + e^{2 p + 3}

Solution steps

e^{2 p + 3} (3 p + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 p + 3}, b = 3 p, c = 1

= e^{2 p + 3} \cdot 3 p + e^{2 p + 3} \cdot 1

= 3 e^{2 p + 3} p + 1 \cdot e^{2 p + 3}

Multiply:

1 \cdot e^{2 p + 3} = e^{2 p + 3}

= 3 e^{2 p + 3} p + e^{2 p + 3}

\frac{2}{x ( x ^{2} + 2 )}

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