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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

a = (e^{3 x} y), b = D, c = 3

= (e^{3 x} y) D - (e^{3 x} y) \cdot 3

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

Remove parentheses:

(a) = a

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

(x - 33)^{2}

(- 1 + 4 i) \cdot [2 (2, 3) - 3 (2, - 5)]

(x - 3)^{4}

(1 + \frac{x}{2})^{14}

(x - y) (x + y)

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