What is expand (x^{6/5}+2x)e^x ?

The solution to expand (x^{6/5}+2x)e^x is e^xx^{6/5}+2e^xx

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expand (x^{6/5}+2x)e^x

expand

(x^{\frac{6}{5}} + 2 x) e^{x}

e^{x} x^{\frac{6}{5}} + 2 e^{x} x

Solution steps

(x^{\frac{6}{5}} + 2 x) e^{x}

= e^{x} (x^{\frac{6}{5}} + 2 x)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = x^{\frac{6}{5}}, c = 2 x

= e^{x} x^{\frac{6}{5}} + e^{x} \cdot 2 x

= e^{x} x^{\frac{6}{5}} + 2 e^{x} x

(x - 2 - 2) (x - 2 + 2)

\frac{2 ( s ^{2} - 3 )}{( s + 2 ) ^{2} ( s - 2 ) ^{2}}

(8 x + 9 x^{2} y^{2}) d x + 6 x^{3} y d y

(x - 7)^{2}

\frac{- x ^{2} - 4}{( x ^{2} - 4 ) ^{2}}

What is expand (x^{6/5}+2x)e^x ?
The solution to expand (x^{6/5}+2x)e^x is e^xx^{6/5}+2e^xx