What is ((x^2)/4-1/(x^2))^2 ?

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

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

simplify

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

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

Solution steps

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

Join

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

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

Apply exponent rule:

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

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

Simplify

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

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

8 1^{3}

\frac{1 - w}{w ^{2} - 1}

2^{2} \cdot 3^{2}

25 m^{2} - n^{2}

26 - 54

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