What is expand ((5y-3)^2)/(25) ?

The solution to expand ((5y-3)^2)/(25) is y^2-(6y)/5+9/25

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expand ((5y-3)^2)/(25)

expand

\frac{( 5 y - 3 ) ^{2}}{25}

y^{2} - \frac{6 y}{5} + \frac{9}{25}

Solution steps

\frac{( 5 y - 3 ) ^{2}}{25}

(5 y - 3)^{2} = 25 y^{2} - 30 y + 9

= \frac{25 y ^{2} - 30 y + 9}{25}

Apply the fraction rule:

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

\frac{25 y ^{2} - 30 y + 9}{25} = \frac{25 y ^{2}}{25} - \frac{30 y}{25} + \frac{9}{25}

= \frac{25 y ^{2}}{25} - \frac{30 y}{25} + \frac{9}{25}

Divide the numbers:

\frac{25}{25} = 1

= y^{2} - \frac{30 y}{25} + \frac{9}{25}

Cancel

\frac{30 y}{25} : \frac{6 y}{5}

= y^{2} - \frac{6 y}{5} + \frac{9}{25}

2 (\frac{π}{4} + 1)

240 (6 - \frac{8}{x + 2})

(3 x + \frac{4}{5}) (3 x - \frac{4}{5})

cos^{2} (x) + sin^{2} (x)

24 e^{- 20 x} + 20 (\frac{6}{5} - \frac{6}{5} e^{- 20 x})

What is expand ((5y-3)^2)/(25) ?
The solution to expand ((5y-3)^2)/(25) is y^2-(6y)/5+9/25