What is expand e^{4x}*(38-7x) ?

The solution to expand e^{4x}*(38-7x) is 38e^{4x}-7e^{4x}x

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expand e^{4x}*(38-7x)

expand

e^{4 x} \cdot (38 - 7 x)

38 e^{4 x} - 7 e^{4 x} x

Solution steps

e^{4 x} (38 - 7 x)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{4 x}, b = 38, c = 7 x

= e^{4 x} \cdot 38 - e^{4 x} \cdot 7 x

= 38 e^{4 x} - 7 e^{4 x} x

- 2 (y + x \frac{d y}{d x})

y e^{x} (x + y)

(1, - 1, - 1) ((- 1, 1, - 1) x (- 1, - 1, 1))

(3 x + vx) (v d x + x d v)

\frac{( 4 x + 1 ) ( 5 x - 1 )}{x ^{2} - 4}

What is expand e^{4x}*(38-7x) ?
The solution to expand e^{4x}*(38-7x) is 38e^{4x}-7e^{4x}x