What is expand 4(e^{3x}+3e^{3x}x) ?

The solution to expand 4(e^{3x}+3e^{3x}x) is 4e^{3x}+12e^{3x}x

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expand 4(e^{3x}+3e^{3x}x)

expand

4 (e^{3 x} + 3 e^{3 x} x)

4 e^{3 x} + 12 e^{3 x} x

Solution steps

4 (e^{3 x} + 3 e^{3 x} x)

Apply the distributive law:

a (b + c) = ab + a c

a = 4, b = e^{3 x}, c = 3 e^{3 x} x

= 4 e^{3 x} + 4 \cdot 3 e^{3 x} x

Multiply the numbers:

4 \cdot 3 = 12

= 4 e^{3 x} + 12 e^{3 x} x

\frac{\partial}{\partial x} ((x y) (ey + 2 z))

(3 x + y) d x + 2 x d y

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

sin (k (x + a))

\frac{- 3 s ^{2} + 20 s - 24}{( s ^{2} - 3 s + 2 ) ( s - 2 )}

What is expand 4(e^{3x}+3e^{3x}x) ?
The solution to expand 4(e^{3x}+3e^{3x}x) is 4e^{3x}+12e^{3x}x