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Popular >

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

Solution

expand

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

Solution

\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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Frequently Asked Questions (FAQ)

What is expand ((x-4)^2)/2 ?
The solution to expand ((x-4)^2)/2 is (x^2)/2-4x+8