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Popular >

expand ((2α+1)^2)/4

Solution

expand

\frac{( 2 α + 1 ) ^{2}}{4}

Solution

α^{2} + α + \frac{1}{4}

Solution steps

\frac{( 2 α + 1 ) ^{2}}{4}

(2 α + 1)^{2} = 4 α^{2} + 4 α + 1

= \frac{4 α ^{2} + 4 α + 1}{4}

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{4} = 1

= α^{2} + α + \frac{1}{4}

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Frequently Asked Questions (FAQ)

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