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Popular >

expand ((a+b)^2)/2

Solution

expand

\frac{( a + b ) ^{2}}{2}

Solution

\frac{a ^{2}}{2} + ab + \frac{b ^{2}}{2}

Solution steps

\frac{( a + b ) ^{2}}{2}

(a + b)^{2} = a^{2} + 2 ab + b^{2}

= \frac{a ^{2} + 2 ab + b ^{2}}{2}

Apply the fraction rule:

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

\frac{a ^{2} + 2 ab + b ^{2}}{2} = \frac{a ^{2}}{2} + \frac{2 ab}{2} + \frac{b ^{2}}{2}

= \frac{a ^{2}}{2} + \frac{2 ab}{2} + \frac{b ^{2}}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{a ^{2}}{2} + ab + \frac{b ^{2}}{2}

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Frequently Asked Questions (FAQ)

What is expand ((a+b)^2)/2 ?
The solution to expand ((a+b)^2)/2 is (a^2)/2+ab+(b^2)/2