What is expand-(2(4-sqrt(10)))/3 ?

The solution to expand-(2(4-sqrt(10)))/3 is -8/3+(2sqrt(10))/3

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expand-(2(4-sqrt(10)))/3

expand

- \frac{2 ( 4 - 10 )}{3}

- \frac{8}{3} + \frac{2 10}{3}

Decimal Notation

- 0.55848 \dots

Solution steps

- \frac{2 ( 4 - 10 )}{3}

Expand

2 (4 - 10) : 8 - 210

= - \frac{8 - 2 10}{3}

Apply the fraction rule:

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

\frac{8 - 2 10}{3} = - (\frac{8}{3}) - (- \frac{2 10}{3})

= - (\frac{8}{3}) - (- \frac{2 10}{3})

Remove parentheses:

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

= - \frac{8}{3} + \frac{2 10}{3}

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What is expand-(2(4-sqrt(10)))/3 ?
The solution to expand-(2(4-sqrt(10)))/3 is -8/3+(2sqrt(10))/3