What is expand 36pi-(9pi(4-sqrt(2)))/2 ?

The solution to expand 36pi-(9pi(4-sqrt(2)))/2 is 18pi+(9pi)/(sqrt(2))

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expand 36pi-(9pi(4-sqrt(2)))/2

expand

36 π - \frac{9 π ( 4 - 2 )}{2}

18 π + \frac{9 π}{2}

Decimal Notation

76.54164 \dots

Solution steps

36 π - \frac{9 π ( 4 - 2 )}{2}

Expand

9 π (4 - 2) : 36 π - 92 π

= 36 π - \frac{36 π - 9 2 π}{2}

Apply the fraction rule:

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

\frac{36 π - 9 2 π}{2} = - (\frac{36 π}{2}) - (- \frac{9 2 π}{2})

= 36 π - (\frac{36 π}{2}) - (- \frac{9 2 π}{2})

Remove parentheses:

(a) = a, - (- a) = a

= 36 π - \frac{36 π}{2} + \frac{9 2 π}{2}

Divide the numbers:

\frac{36}{2} = 18

= 36 π - 18 π + \frac{9 2 π}{2}

Cancel

\frac{9 2 π}{2} : \frac{9 π}{2}

= 36 π - 18 π + \frac{9 π}{2}

Add similar elements:

36 π - 18 π = 18 π

= 18 π + \frac{9 π}{2}

\frac{5 x + 6}{( x + 1 ) ( x - 2 )}

11 x + 6 - 5 x - 3

- \frac{1}{3 x ( x + 1 ) ^{3}}

(1 + \frac{5}{8} x)^{8}

\frac{( 3 x - 2 ) ( 2 x - 1 )}{6}

What is expand 36pi-(9pi(4-sqrt(2)))/2 ?
The solution to expand 36pi-(9pi(4-sqrt(2)))/2 is 18pi+(9pi)/(sqrt(2))