What is expand (5+x^3)e^{2x} ?

The solution to expand (5+x^3)e^{2x} is 5e^{2x}+e^{2x}x^3

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expand (5+x^3)e^{2x}

expand

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

5 e^{2 x} + e^{2 x} x^{3}

Solution steps

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

= e^{2 x} (5 + x^{3})

Apply the distributive law:

a (b + c) = ab + a c

a = e^{2 x}, b = 5, c = x^{3}

= e^{2 x} \cdot 5 + e^{2 x} x^{3}

= 5 e^{2 x} + e^{2 x} x^{3}

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What is expand (5+x^3)e^{2x} ?
The solution to expand (5+x^3)e^{2x} is 5e^{2x}+e^{2x}x^3