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Popular >

expand ((x+y)^2)/2

Solution

expand

\frac{( x + y ) ^{2}}{2}

Solution

\frac{x ^{2}}{2} + x y + \frac{y ^{2}}{2}

Solution steps

\frac{( x + y ) ^{2}}{2}

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

= \frac{x ^{2} + 2 x y + y ^{2}}{2}

Apply the fraction rule:

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

\frac{x ^{2} + 2 x y + y ^{2}}{2} = \frac{x ^{2}}{2} + \frac{2 x y}{2} + \frac{y ^{2}}{2}

= \frac{x ^{2}}{2} + \frac{2 x y}{2} + \frac{y ^{2}}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{x ^{2}}{2} + x y + \frac{y ^{2}}{2}

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Frequently Asked Questions (FAQ)

What is expand ((x+y)^2)/2 ?
The solution to expand ((x+y)^2)/2 is (x^2)/2+xy+(y^2)/2