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Popular >

simplify (x/4-1/x)^2

Solution

simplify

(\frac{x}{4} - \frac{1}{x})^{2}

Solution

\frac{( x ^{2} - 4 ) ^{2}}{16 x ^{2}}

Solution steps

(\frac{x}{4} - \frac{1}{x})^{2}

Join

\frac{x}{4} - \frac{1}{x} : \frac{x ^{2} - 4}{4 x}

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

Apply exponent rule:

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

What is (x/4-1/x)^2 ?
The solution to (x/4-1/x)^2 is ((x^2-4)^2)/(16x^2)