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

The solution to ((x^4)/2-1/(2x^4))^2 is ((x^8-1)^2)/(4x^8)

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

simplify

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

\frac{( x ^{8} - 1 ) ^{2}}{4 x ^{8}}

Solution steps

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

Join

\frac{x ^{4}}{2} - \frac{1}{2 x ^{4}} : \frac{x ^{8} - 1}{2 x ^{4}}

= (\frac{x ^{8} - 1}{2 x ^{4}})^{2}

Apply exponent rule:

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

= \frac{( x ^{8} - 1 ) ^{2}}{( 2 x ^{4} ) ^{2}}

Simplify

(2 x^{4})^{2} : 4 x^{8}

= \frac{( x ^{8} - 1 ) ^{2}}{4 x ^{8}}

\frac{( 2 ( n + 1 ) ) !}{( 2 n ) !}

(y^{3})^{2} y^{4}

x^{3} \times x^{4}

5 (3 x + 2) - 2 (4 x - 1)

What is ((x^4)/2-1/(2x^4))^2 ?
The solution to ((x^4)/2-1/(2x^4))^2 is ((x^8-1)^2)/(4x^8)