What is expand ((9/10 x+2/5)9)/(10)+2/5 ?

The solution to expand ((9/10 x+2/5)9)/(10)+2/5 is (81x)/(100)+9/25+2/5

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expand ((9/10 x+2/5)9)/(10)+2/5

expand

\frac{( \frac{9}{10} x + \frac{2}{5} ) 9}{10} + \frac{2}{5}

\frac{81 x}{100} + \frac{9}{25} + \frac{2}{5}

Solution steps

\frac{( \frac{9}{10} x + \frac{2}{5} ) \cdot 9}{10} + \frac{2}{5}

\frac{( \frac{9}{10} x + \frac{2}{5} ) \cdot 9}{10} = \frac{9 \cdot \frac{9 x + 4}{10}}{10}

= \frac{9 \cdot \frac{9 x + 4}{10}}{10} + \frac{2}{5}

\frac{\frac{9 x + 4}{10} \cdot 9}{10} = \frac{81 x + 36}{100}

= \frac{81 x + 36}{100} + \frac{2}{5}

Apply the fraction rule:

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

\frac{81 x + 36}{100} = \frac{81 x}{100} + \frac{36}{100}

= \frac{81 x}{100} + \frac{36}{100} + \frac{2}{5}

Cancel

\frac{36}{100} : \frac{9}{25}

= \frac{81 x}{100} + \frac{9}{25} + \frac{2}{5}

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What is expand ((9/10 x+2/5)9)/(10)+2/5 ?
The solution to expand ((9/10 x+2/5)9)/(10)+2/5 is (81x)/(100)+9/25+2/5