What is expand ((2+y)^2)/4 ?

The solution to expand ((2+y)^2)/4 is (y^2)/4+y+1

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expand ((2+y)^2)/4

expand

\frac{( 2 + y ) ^{2}}{4}

\frac{y ^{2}}{4} + y + 1

Solution steps

\frac{( 2 + y ) ^{2}}{4}

(2 + y)^{2} = 4 + 4 y + y^{2}

= \frac{4 + 4 y + y ^{2}}{4}

Apply the fraction rule:

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

\frac{4 + 4 y + y ^{2}}{4} = \frac{4}{4} + \frac{4 y}{4} + \frac{y ^{2}}{4}

= \frac{4}{4} + \frac{4 y}{4} + \frac{y ^{2}}{4}

Apply rule

\frac{a}{a} = 1

\frac{4}{4} = 1

= 1 + \frac{4 y}{4} + \frac{y ^{2}}{4}

Divide the numbers:

\frac{4}{4} = 1

= 1 + y + \frac{y ^{2}}{4}

Rewrite in standard form

= \frac{y ^{2}}{4} + y + 1

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\frac{6}{( s ^{2} + 9 ) ^{2}}