What is expand ((2x+1)^2)/2 ?

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

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expand ((2x+1)^2)/2

expand

\frac{( 2 x + 1 ) ^{2}}{2}

2 x^{2} + 2 x + \frac{1}{2}

Solution steps

\frac{( 2 x + 1 ) ^{2}}{2}

(2 x + 1)^{2} = 4 x^{2} + 4 x + 1

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{2} = 2

= 2 x^{2} + 2 x + \frac{1}{2}

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What is expand ((2x+1)^2)/2 ?
The solution to expand ((2x+1)^2)/2 is 2x^2+2x+1/2