What is expand 1/6 (3+ln(2) 9/2) ?

The solution to expand 1/6 (3+ln(2) 9/2) is 1/2+(3ln(2))/4

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expand 1/6 (3+ln(2) 9/2)

expand

\frac{1}{6} (3 + ln (2) \frac{9}{2})

\frac{1}{2} + \frac{3 ln ( 2 )}{4}

Solution steps

\frac{1}{6} (3 + ln (2) \frac{9}{2})

= \frac{1}{6} (3 + \frac{9}{2} ln (2))

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{1}{6}, b = 3, c = ln (2) \frac{9}{2}

= \frac{1}{6} \cdot 3 + \frac{1}{6} ln (2) \frac{9}{2}

= 3 \cdot \frac{1}{6} + \frac{1}{6} \cdot \frac{9}{2} ln (2)

Simplify

3 \cdot \frac{1}{6} + \frac{1}{6} \cdot \frac{9}{2} ln (2) : \frac{1}{2} + \frac{3 ln ( 2 )}{4}

= \frac{1}{2} + \frac{3 ln ( 2 )}{4}

- \frac{49 x}{( 1 + 7 x ) ^{2}}

x (2 x - 2 x - 4)

\frac{( ( x + 1 ) ^{2} )}{x ^{2} - s - 6}

\frac{( x - 1 ) ^{2} + 2 ( x - 1 ) x ^{\frac{1}{13}}}{13 x ^{\frac{12}{13}}}

4 (4 x ln (x) + 2 x)

What is expand 1/6 (3+ln(2) 9/2) ?
The solution to expand 1/6 (3+ln(2) 9/2) is 1/2+(3ln(2))/4