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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

(2 a - 1)^{2} = 4 a^{2} - 4 a + 1

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

Apply the fraction rule:

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

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

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

Divide the numbers:

\frac{4}{2} = 2

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

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Frequently Asked Questions (FAQ)

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