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Popular >

simplify (n/4-4/n)^2

Solution

simplify

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

Solution

\frac{( n ^{2} - 16 ) ^{2}}{16 n ^{2}}

Solution steps

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

Join

\frac{n}{4} - \frac{4}{n} : \frac{n ^{2} - 16}{4 n}

= (\frac{n ^{2} - 16}{4 n})^{2}

Apply exponent rule:

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

= \frac{( n ^{2} - 16 ) ^{2}}{( 4 n ) ^{2}}

Simplify

(4 n)^{2} : 16 n^{2}

= \frac{( n ^{2} - 16 ) ^{2}}{16 n ^{2}}

Popular Examples

simplify 8sqrt(147)simplify

8147

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5 x^{2} + 9 x \geq 3 x^{2} + 5

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simplify (-sqrt(7)(1+i))/(sqrt(2)+i)simplify

\frac{- 7 ( 1 + i )}{2 + i}

(a(1-0.2^4))/(1-0.2)=671

\frac{a ( 1 - 0. 2 ^{4} )}{1 - 0.2} = 671

Frequently Asked Questions (FAQ)

What is (n/4-4/n)^2 ?
The solution to (n/4-4/n)^2 is ((n^2-16)^2)/(16n^2)