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Popular >

expand ((x-3)^2)/9

Solution

expand

\frac{( x - 3 ) ^{2}}{9}

Solution

\frac{x ^{2}}{9} - \frac{2 x}{3} + 1

Solution steps

\frac{( x - 3 ) ^{2}}{9}

(x - 3)^{2} = x^{2} - 6 x + 9

= \frac{x ^{2} - 6 x + 9}{9}

Apply the fraction rule:

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

\frac{x ^{2} - 6 x + 9}{9} = \frac{x ^{2}}{9} - \frac{6 x}{9} + \frac{9}{9}

= \frac{x ^{2}}{9} - \frac{6 x}{9} + \frac{9}{9}

Apply rule

\frac{a}{a} = 1

\frac{9}{9} = 1

= \frac{x ^{2}}{9} - \frac{6 x}{9} + 1

Cancel

\frac{6 x}{9} : \frac{2 x}{3}

= \frac{x ^{2}}{9} - \frac{2 x}{3} + 1

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Frequently Asked Questions (FAQ)

What is expand ((x-3)^2)/9 ?
The solution to expand ((x-3)^2)/9 is (x^2)/9-(2x)/3+1