What is expand ((12-x)^2)/4 ?

The solution to expand ((12-x)^2)/4 is (x^2)/4-6x+36

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expand ((12-x)^2)/4

expand

\frac{( 12 - x ) ^{2}}{4}

\frac{x ^{2}}{4} - 6 x + 36

Solution steps

\frac{( 12 - x ) ^{2}}{4}

(12 - x)^{2} = 144 - 24 x + x^{2}

= \frac{144 - 24 x + x ^{2}}{4}

Apply the fraction rule:

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

\frac{144 - 24 x + x ^{2}}{4} = \frac{144}{4} - \frac{24 x}{4} + \frac{x ^{2}}{4}

= \frac{144}{4} - \frac{24 x}{4} + \frac{x ^{2}}{4}

Divide the numbers:

\frac{144}{4} = 36

= 36 - \frac{24 x}{4} + \frac{x ^{2}}{4}

Divide the numbers:

\frac{24}{4} = 6

= 36 - 6 x + \frac{x ^{2}}{4}

Rewrite in standard form

= \frac{x ^{2}}{4} - 6 x + 36

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What is expand ((12-x)^2)/4 ?
The solution to expand ((12-x)^2)/4 is (x^2)/4-6x+36