What is expand ((x-6)^2)/9 ?

The solution to expand ((x-6)^2)/9 is (x^2)/9-(4x)/3+4

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expand ((x-6)^2)/9

expand

\frac{( x - 6 ) ^{2}}{9}

\frac{x ^{2}}{9} - \frac{4 x}{3} + 4

Solution steps

\frac{( x - 6 ) ^{2}}{9}

(x - 6)^{2} = x^{2} - 12 x + 36

= \frac{x ^{2} - 12 x + 36}{9}

Apply the fraction rule:

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

\frac{x ^{2} - 12 x + 36}{9} = \frac{x ^{2}}{9} - \frac{12 x}{9} + \frac{36}{9}

= \frac{x ^{2}}{9} - \frac{12 x}{9} + \frac{36}{9}

Cancel

\frac{12 x}{9} : \frac{4 x}{3}

= \frac{x ^{2}}{9} - \frac{4 x}{3} + \frac{36}{9}

Divide the numbers:

\frac{36}{9} = 4

= \frac{x ^{2}}{9} - \frac{4 x}{3} + 4

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What is expand ((x-6)^2)/9 ?
The solution to expand ((x-6)^2)/9 is (x^2)/9-(4x)/3+4