What is expand 2k(1+b/(4x))dx ?

The solution to expand 2k(1+b/(4x))dx is 2kdx+(bkdx)/(2x)

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expand 2k(1+b/(4x))dx

expand

2 k (1 + \frac{b}{4 x}) d x

2 k d x + \frac{bk d x}{2 x}

Solution steps

2 k (1 + \frac{b}{4 x}) d x

Apply the distributive law:

a (b + c) = ab + a c

a = 2 k d x, b = 1, c = \frac{b}{4 x}

= 2 k d x \cdot 1 + 2 k d x \frac{b}{4 x}

= 2 \cdot 1 \cdot k d x + 2 k \frac{b}{4 x} d x

Simplify

2 \cdot 1 \cdot k d x + 2 k \frac{b}{4 x} d x : 2 k d x + \frac{bk d x}{2 x}

= 2 k d x + \frac{bk d x}{2 x}

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\frac{1}{s ^{n} ( s - 8 )}

What is expand 2k(1+b/(4x))dx ?
The solution to expand 2k(1+b/(4x))dx is 2kdx+(bkdx)/(2x)