What is expand 4+2sqrt(2)+(pi(3sqrt(2)+4))/2 ?

The solution to expand 4+2sqrt(2)+(pi(3sqrt(2)+4))/2 is 4+2sqrt(2)+(3pi)/(sqrt(2))+2pi

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expand 4+2sqrt(2)+(pi(3sqrt(2)+4))/2

expand

4 + 22 + \frac{π ( 3 2 + 4 )}{2}

4 + 22 + \frac{3 π}{2} + 2 π

Solution steps

4 + 22 + \frac{π ( 3 2 + 4 )}{2}

Expand

π (32 + 4) : 32 π + 4 π

= 4 + 22 + \frac{3 2 π + 4 π}{2}

Apply the fraction rule:

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

\frac{3 2 π + 4 π}{2} = \frac{3 2 π}{2} + \frac{4 π}{2}

= 4 + 22 + \frac{3 2 π}{2} + \frac{4 π}{2}

Cancel

\frac{3 2 π}{2} : \frac{3 π}{2}

= 4 + 22 + \frac{3 π}{2} + \frac{4 π}{2}

Divide the numbers:

\frac{4}{2} = 2

= 4 + 22 + \frac{3 π}{2} + 2 π

\frac{14 x y}{( x ^{2} + y ^{2} + 1 ) ^{2}}

\frac{2 q - r - p}{( q - r ) ^{2}}

\frac{1}{( p - 1 ) ( p + 1 ) ( p + 2 )}

\frac{d x + u}{( x - v ) ^{2}}

\frac{8 s + 25}{( s + 2 ) ( s ^{3} + 25 s ^{2} - 128 s - 400 )}

What is expand 4+2sqrt(2)+(pi(3sqrt(2)+4))/2 ?
The solution to expand 4+2sqrt(2)+(pi(3sqrt(2)+4))/2 is 4+2sqrt(2)+(3pi)/(sqrt(2))+2pi