What is expand ((a-1)^2)/4 ?

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

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expand ((a-1)^2)/4

expand

\frac{( a - 1 ) ^{2}}{4}

\frac{a ^{2}}{4} - \frac{a}{2} + \frac{1}{4}

Solution steps

\frac{( a - 1 ) ^{2}}{4}

(a - 1)^{2} = a^{2} - 2 a + 1

= \frac{a ^{2} - 2 a + 1}{4}

Apply the fraction rule:

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

\frac{a ^{2} - 2 a + 1}{4} = \frac{a ^{2}}{4} - \frac{2 a}{4} + \frac{1}{4}

= \frac{a ^{2}}{4} - \frac{2 a}{4} + \frac{1}{4}

Cancel

\frac{2 a}{4} : \frac{a}{2}

= \frac{a ^{2}}{4} - \frac{a}{2} + \frac{1}{4}

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