What is expand 3(ax+b)e^{3x} ?

The solution to expand 3(ax+b)e^{3x} is 3ae^{3x}x+3be^{3x}

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expand 3(ax+b)e^{3x}

expand

3 (a x + b) e^{3 x}

3 a e^{3 x} x + 3 b e^{3 x}

Solution steps

3 (a x + b) e^{3 x}

= 3 e^{3 x} (a x + b)

Apply the distributive law:

a (b + c) = ab + a c

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

= 3 e^{3 x} a x + 3 e^{3 x} b

= 3 a e^{3 x} x + 3 b e^{3 x}

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What is expand 3(ax+b)e^{3x} ?
The solution to expand 3(ax+b)e^{3x} is 3ae^{3x}x+3be^{3x}