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Popular >

expand ((x+1)^2)/4

Solution

expand

\frac{( x + 1 ) ^{2}}{4}

Solution

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

Solution steps

\frac{( x + 1 ) ^{2}}{4}

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

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

Apply the fraction rule:

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

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

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

Cancel

\frac{2 x}{4} : \frac{x}{2}

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

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Frequently Asked Questions (FAQ)

What is expand ((x+1)^2)/4 ?
The solution to expand ((x+1)^2)/4 is (x^2)/4+x/2+1/4