What is expand (9(2sqrt(15)-5))/(10) ?

The solution to expand (9(2sqrt(15)-5))/(10) is (9sqrt(3))/(sqrt(5))-9/2

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expand (9(2sqrt(15)-5))/(10)

expand

\frac{9 ( 2 15 - 5 )}{10}

\frac{9 3}{5} - \frac{9}{2}

Decimal

2.47137 \dots

Solution steps

\frac{9 ( 2 15 - 5 )}{10}

Expand

9 (215 - 5) : 1815 - 45

= \frac{18 15 - 45}{10}

Apply the fraction rule:

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

\frac{18 15 - 45}{10} = \frac{18 15}{10} - \frac{45}{10}

= \frac{18 15}{10} - \frac{45}{10}

Cancel

\frac{18 15}{10} : \frac{9 3}{5}

= \frac{9 3}{5} - \frac{45}{10}

Cancel

\frac{45}{10} : \frac{9}{2}

= \frac{9 3}{5} - \frac{9}{2}

2 x H (x - 2)

\frac{1}{( x ^{2} + 3 x + 5 ) ^{2}}

\frac{( a z - a )}{z ( z + 1 ) ^{2}}

\frac{( 2 + x ) ^{3} - 8}{x}

(6 x y^{3} + cos (y)) d x

What is expand (9(2sqrt(15)-5))/(10) ?
The solution to expand (9(2sqrt(15)-5))/(10) is (9sqrt(3))/(sqrt(5))-9/2