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

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

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

simplify

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

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

Solution steps

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

Join

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

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

Apply exponent rule:

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

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

Simplify

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

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

(3 a^{4} - 5 b^{2})^{2}

2 (x + 7) + 3 (x + 1)

(2 x - 3) (2 x - 3)

\frac{4 x ^{2} y}{- 2 x y}

\frac{27}{5}

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