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Popular >

expand (x^3+2x)(e^x)

Solution

expand

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

Solution

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

= (e^{x}) x^{3} + (e^{x}) \cdot 2 x

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

Remove parentheses:

(a) = a

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

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Frequently Asked Questions (FAQ)

What is expand (x^3+2x)(e^x) ?
The solution to expand (x^3+2x)(e^x) is e^xx^3+2e^xx