What is expand e^x((dy)/(dx)+y) ?

The solution to expand e^x((dy)/(dx)+y) is e^x(dy)/(dx)+e^xy

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expand e^x((dy)/(dx)+y)

expand

e^{x} (\frac{d y}{d x} + y)

e^{x} \frac{d y}{d x} + e^{x} y

Solution steps

e^{x} (\frac{d y}{d x} + y)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{x}, b = \frac{d y}{d x}, c = y

= e^{x} \frac{d y}{d x} + e^{x} y

\frac{( x ^{2} - 4 ) ( x - 3 )}{x + 1}

(5 + 3) (6 - 4)

(f \circ g) (4 x + 4) (x^{2})

\frac{6}{( x - 1 ) ( x + 1 )}

(x + 2 x)^{2}

What is expand e^x((dy)/(dx)+y) ?
The solution to expand e^x((dy)/(dx)+y) is e^x(dy)/(dx)+e^xy