What is expand (x+y)e^{x+2y} ?

The solution to expand (x+y)e^{x+2y} is e^{x+2y}x+e^{x+2y}y

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

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

\frac{X ^{2} + 4}{( X - 5 ) ( X - 4 )}

(- 1 + e^{- 0.02 y}) (e^{- 0.1 x} - 1)

(x^{2} + Δ x)^{2} - 4 (x + Δ x)

(1 - e^{- 10 t}) U (t)

(\frac{d y}{d x} - 1)^{2}

What is expand (x+y)e^{x+2y} ?
The solution to expand (x+y)e^{x+2y} is e^{x+2y}x+e^{x+2y}y