What is expand ((75y+1)^2)/(25) ?

The solution to expand ((75y+1)^2)/(25) is 225y^2+6y+1/25

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expand ((75y+1)^2)/(25)

expand

\frac{( 75 y + 1 ) ^{2}}{25}

225 y^{2} + 6 y + \frac{1}{25}

Solution steps

\frac{( 75 y + 1 ) ^{2}}{25}

(75 y + 1)^{2} = 5625 y^{2} + 150 y + 1

= \frac{5625 y ^{2} + 150 y + 1}{25}

Apply the fraction rule:

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

\frac{5625 y ^{2} + 150 y + 1}{25} = \frac{5625 y ^{2}}{25} + \frac{150 y}{25} + \frac{1}{25}

= \frac{5625 y ^{2}}{25} + \frac{150 y}{25} + \frac{1}{25}

Divide the numbers:

\frac{5625}{25} = 225

= 225 y^{2} + \frac{150 y}{25} + \frac{1}{25}

Divide the numbers:

\frac{150}{25} = 6

= 225 y^{2} + 6 y + \frac{1}{25}

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What is expand ((75y+1)^2)/(25) ?
The solution to expand ((75y+1)^2)/(25) is 225y^2+6y+1/25