What is expand 1/12 e^{4x}(2x-1) ?

The solution to expand 1/12 e^{4x}(2x-1) is (e^{4x}x)/6-1/12 e^{4x}

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expand 1/12 e^{4x}(2x-1)

expand

\frac{1}{12} e^{4 x} (2 x - 1)

\frac{e ^{4 x} x}{6} - \frac{1}{12} e^{4 x}

Solution steps

\frac{1}{12} e^{4 x} (2 x - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = \frac{1}{12} e^{4 x}, b = 2 x, c = 1

= \frac{1}{12} e^{4 x} \cdot 2 x - \frac{1}{12} e^{4 x} \cdot 1

= 2 \cdot \frac{1}{12} e^{4 x} x - 1 \cdot \frac{1}{12} e^{4 x}

Simplify

2 \cdot \frac{1}{12} e^{4 x} x - 1 \cdot \frac{1}{12} e^{4 x} : \frac{e ^{4 x} x}{6} - \frac{1}{12} e^{4 x}

= \frac{e ^{4 x} x}{6} - \frac{1}{12} e^{4 x}

(x ln (x) + x y) d y

\frac{1}{x ( 10 + s )}

(e^{x} + y) d x

(2 a + 3) (- 2 - a = 5 a^{2})

- \frac{3}{x ( x + h )}

What is expand 1/12 e^{4x}(2x-1) ?
The solution to expand 1/12 e^{4x}(2x-1) is (e^{4x}x)/6-1/12 e^{4x}