What is expand 3/4 (6ln(6)+5) ?

The solution to expand 3/4 (6ln(6)+5) is 9/2 ln(6)+15/4

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expand 3/4 (6ln(6)+5)

expand

\frac{3}{4} (6 ln (6) + 5)

\frac{9}{2} ln (6) + \frac{15}{4}

Solution steps

\frac{3}{4} (6 ln (6) + 5)

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{3}{4}, b = 6 ln (6), c = 5

= \frac{3}{4} \cdot 6 ln (6) + \frac{3}{4} \cdot 5

= 6 \cdot \frac{3}{4} ln (6) + 5 \cdot \frac{3}{4}

Simplify

6 \cdot \frac{3}{4} ln (6) + 5 \cdot \frac{3}{4} : \frac{9}{2} ln (6) + \frac{15}{4}

= \frac{9}{2} ln (6) + \frac{15}{4}

(p - 4) (12 - \frac{p}{2})

s^{2} (s^{2} + 1)^{3} + 1

y^{\frac{5}{3}} (1 + y)

\frac{i}{( x + i y ) ^{3}}

(2 cos (x) - 2) (cos (x) - 3)

What is expand 3/4 (6ln(6)+5) ?
The solution to expand 3/4 (6ln(6)+5) is 9/2 ln(6)+15/4