What is expand (2x-2y)e^{3y} ?

The solution to expand (2x-2y)e^{3y} is 2e^{3y}x-2e^{3y}y

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expand (2x-2y)e^{3y}

expand

(2 x - 2 y) e^{3 y}

2 e^{3 y} x - 2 e^{3 y} y

Solution steps

(2 x - 2 y) e^{3 y}

= e^{3 y} (2 x - 2 y)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{3 y}, b = 2 x, c = 2 y

= e^{3 y} \cdot 2 x - e^{3 y} \cdot 2 y

= 2 e^{3 y} x - 2 e^{3 y} y

\frac{x - 2}{x ( x - 3 )}

5 (1 - e^{- 2 t})

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

\frac{5 ( 65 + 745 )}{12}

(e^{x - 3})^{2}

What is expand (2x-2y)e^{3y} ?
The solution to expand (2x-2y)e^{3y} is 2e^{3y}x-2e^{3y}y