What is expand (log_{2}(n)(3+log_{2}(n)))/2 ?

The solution to expand (log_{2}(n)(3+log_{2}(n)))/2 is (3log_{2}(n))/2+(log_{2}(n)^2)/2

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expand (log_{2}(n)(3+log_{2}(n)))/2

expand

\frac{lo g _{2} ( n ) ( 3 + lo g _{2} ( n ) )}{2}

\frac{3 lo g _{2} ( n )}{2} + \frac{lo g _{2} ( n ) ^{2}}{2}

Solution steps

\frac{lo g _{2} ( n ) ( 3 + lo g _{2} ( n ) )}{2}

Expand

lo g_{2} (n) (3 + lo g_{2} (n)) : 3 lo g_{2} (n) + lo g_{2} (n)^{2}

= \frac{3 lo g _{2} ( n ) + lo g _{2} ( n ) ^{2}}{2}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{3 lo g _{2} ( n ) + lo g _{2} ( n ) ^{2}}{2} = \frac{3 lo g _{2} ( n )}{2} + \frac{lo g _{2} ( n ) ^{2}}{2}

= \frac{3 lo g _{2} ( n )}{2} + \frac{lo g _{2} ( n ) ^{2}}{2}

\frac{4 - c ^{2} ( 3 + c ^{2} + 5 )}{8 + c ^{2}}

\frac{( n \cdot ( n - 1 ) )}{2}

c_{2} (e^{- 5 x} - 5 e^{- 5 x} x)

\frac{( x + 3 ) ( x + 4 )}{( x + 5 ) ( x + 2 )}

d w (x, y, z) (w (x, y, z) = x^{6} y z^{15} + sin (yz))

What is expand (log_{2}(n)(3+log_{2}(n)))/2 ?
The solution to expand (log_{2}(n)(3+log_{2}(n)))/2 is (3log_{2}(n))/2+(log_{2}(n)^2)/2