What is ((x^3)/2-1/(2x^3))^2 ?

The solution to ((x^3)/2-1/(2x^3))^2 is ((x^6-1)^2)/(4x^6)

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simplify ((x^3)/2-1/(2x^3))^2

simplify

(\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}})^{2}

\frac{( x ^{6} - 1 ) ^{2}}{4 x ^{6}}

Solution steps

(\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}})^{2}

Join

\frac{x ^{3}}{2} - \frac{1}{2 x ^{3}} : \frac{x ^{6} - 1}{2 x ^{3}}

= (\frac{x ^{6} - 1}{2 x ^{3}})^{2}

Apply exponent rule:

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

= \frac{( x ^{6} - 1 ) ^{2}}{( 2 x ^{3} ) ^{2}}

Simplify

(2 x^{3})^{2} : 4 x^{6}

= \frac{( x ^{6} - 1 ) ^{2}}{4 x ^{6}}

(4 n + 1) (2 n + 6)

lo g_{10} (1 0^{4})

1 \cdot x

(- 10 x^{2} - 10 x + 3) - (- 4 x^{2} - x)

\frac{16}{32}

What is ((x^3)/2-1/(2x^3))^2 ?
The solution to ((x^3)/2-1/(2x^3))^2 is ((x^6-1)^2)/(4x^6)