What is expand (6x^3+7)*(e^x) ?

The solution to expand (6x^3+7)*(e^x) is 6e^xx^3+7e^x

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expand (6x^3+7)*(e^x)

expand

(6 x^{3} + 7) \cdot (e^{x})

6 e^{x} x^{3} + 7 e^{x}

Solution steps

(6 x^{3} + 7) (e^{x})

= (e^{x}) (6 x^{3} + 7)

Apply the distributive law:

a (b + c) = ab + a c

a = (e^{x}), b = 6 x^{3}, c = 7

= (e^{x}) \cdot 6 x^{3} + (e^{x}) \cdot 7

= 6 x^{3} (e^{x}) + 7 (e^{x})

Remove parentheses:

(a) = a

= 6 e^{x} x^{3} + 7 e^{x}

m (m - 7 = 0)

(\frac{x ^{3}}{6})^{2}

(x^{4} - 3 x^{2}) d y + x y d x

\frac{1}{( x ( ln ( x ) - 1 ) )}

\frac{10}{x} - 10 x

What is expand (6x^3+7)*(e^x) ?
The solution to expand (6x^3+7)*(e^x) is 6e^xx^3+7e^x