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

The solution to expand (9(2-sqrt(2)))/4 is 9/2-9/(2sqrt(2))

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

expand

\frac{9 ( 2 - 2 )}{4}

\frac{9}{2} - \frac{9}{2 2}

Decimal Notation

1.31801 \dots

Solution steps

\frac{9 ( 2 - 2 )}{4}

Expand

9 (2 - 2) : 18 - 92

= \frac{18 - 9 2}{4}

Apply the fraction rule:

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

\frac{18 - 9 2}{4} = \frac{18}{4} - \frac{9 2}{4}

= \frac{18}{4} - \frac{9 2}{4}

Cancel

\frac{18}{4} : \frac{9}{2}

= \frac{9}{2} - \frac{9 2}{4}

Cancel

\frac{9 2}{4} : \frac{9}{2 2}

= \frac{9}{2} - \frac{9}{2 2}

4 (\frac{3 ( k + 1 ) ^{3}}{8} - (\frac{k + 1}{2})) + (k + 1)^{3}

(sec^{2} (x) - 1)^{2}

\frac{\partial}{\partial x} ((z) (z^{2} - 5 x^{2} + y^{2}))

(4 x^{3} e^{x}) (x^{2} + 1)

(x + \frac{1}{2}) (x - 1) (x - \frac{3}{4})

What is expand (9(2-sqrt(2)))/4 ?
The solution to expand (9(2-sqrt(2)))/4 is 9/2-9/(2sqrt(2))