What is expand e^x(2sqrt(x)+2x) ?

The solution to expand e^x(2sqrt(x)+2x) is 2e^xsqrt(x)+2e^xx

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

\frac{x + 4}{( x - 7 ) ( x + 3 )}

\frac{( x + 5 ) ^{2}}{x ^{2} + 25}

\frac{a ^{2} + 2 ab + b}{( a + b ) ^{2}}

\frac{x ( 1 + e ^{- x} )}{1 - e ^{- x}}

f (3, - \frac{3}{4})

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