What is expand ((y-z)^2-x)/2 ?

The solution to expand ((y-z)^2-x)/2 is (y^2)/2-yz+(z^2)/2-x/2

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expand ((y-z)^2-x)/2

expand

\frac{( y - z ) ^{2} - x}{2}

\frac{y ^{2}}{2} - yz + \frac{z ^{2}}{2} - \frac{x}{2}

Solution steps

\frac{( y - z ) ^{2} - x}{2}

Expand

(y - z)^{2} - x : y^{2} - 2 yz + z^{2} - x

= \frac{y ^{2} - 2 yz + z ^{2} - x}{2}

Apply the fraction rule:

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

\frac{y ^{2} - 2 yz + z ^{2} - x}{2} = \frac{y ^{2}}{2} - \frac{2 yz}{2} + \frac{z ^{2}}{2} - \frac{x}{2}

= \frac{y ^{2}}{2} - \frac{2 yz}{2} + \frac{z ^{2}}{2} - \frac{x}{2}

Divide the numbers:

\frac{2}{2} = 1

= \frac{y ^{2}}{2} - yz + \frac{z ^{2}}{2} - \frac{x}{2}

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What is expand ((y-z)^2-x)/2 ?
The solution to expand ((y-z)^2-x)/2 is (y^2)/2-yz+(z^2)/2-x/2