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Popular >

simplify (n/3-3/n)^2

Solution

simplify

(\frac{n}{3} - \frac{3}{n})^{2}

Solution

\frac{( n ^{2} - 9 ) ^{2}}{9 n ^{2}}

Solution steps

(\frac{n}{3} - \frac{3}{n})^{2}

Join

\frac{n}{3} - \frac{3}{n} : \frac{n ^{2} - 9}{3 n}

= (\frac{n ^{2} - 9}{3 n})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( n ^{2} - 9 ) ^{2}}{( 3 n ) ^{2}}

Simplify

(3 n)^{2} : 9 n^{2}

= \frac{( n ^{2} - 9 ) ^{2}}{9 n ^{2}}

Popular Examples

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simplify 3/7*7 simplify

\frac{3}{7} \cdot 7

Frequently Asked Questions (FAQ)

What is (n/3-3/n)^2 ?
The solution to (n/3-3/n)^2 is ((n^2-9)^2)/(9n^2)