What is expand ((X-4)^2)/2 ?

The solution to expand ((X-4)^2)/2 is (X^2)/2-4X+8

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expand ((X-4)^2)/2

expand

\frac{( X - 4 ) ^{2}}{2}

\frac{X ^{2}}{2} - 4 X + 8

Solution steps

\frac{( X - 4 ) ^{2}}{2}

(X - 4)^{2} = X^{2} - 8 X + 16

= \frac{X ^{2} - 8 X + 16}{2}

Apply the fraction rule:

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

\frac{X ^{2} - 8 X + 16}{2} = \frac{X ^{2}}{2} - \frac{8 X}{2} + \frac{16}{2}

= \frac{X ^{2}}{2} - \frac{8 X}{2} + \frac{16}{2}

Divide the numbers:

\frac{8}{2} = 4

= \frac{X ^{2}}{2} - 4 X + \frac{16}{2}

Divide the numbers:

\frac{16}{2} = 8

= \frac{X ^{2}}{2} - 4 X + 8

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