What is ((x^3)/4-1/(x^3))^2 ?

The solution to ((x^3)/4-1/(x^3))^2 is ((x^6-4)^2)/(16x^6)

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simplify ((x^3)/4-1/(x^3))^2

simplify

(\frac{x ^{3}}{4} - \frac{1}{x ^{3}})^{2}

\frac{( x ^{6} - 4 ) ^{2}}{16 x ^{6}}

Solution steps

(\frac{x ^{3}}{4} - \frac{1}{x ^{3}})^{2}

Join

\frac{x ^{3}}{4} - \frac{1}{x ^{3}} : \frac{x ^{6} - 4}{4 x ^{3}}

= (\frac{x ^{6} - 4}{4 x ^{3}})^{2}

Apply exponent rule:

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

= \frac{( x ^{6} - 4 ) ^{2}}{( 4 x ^{3} ) ^{2}}

Simplify

(4 x^{3})^{2} : 16 x^{6}

= \frac{( x ^{6} - 4 ) ^{2}}{16 x ^{6}}

(\frac{4 x ^{2}}{8 y ^{3}})^{2}

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

(x - 2) (3 x + 4)

(2 + 1) (2 - 1)

\frac{\frac{x ^{2} - 81}{x ^{2} - x - 72}}{\frac{x - 2}{x + 8}}

What is ((x^3)/4-1/(x^3))^2 ?
The solution to ((x^3)/4-1/(x^3))^2 is ((x^6-4)^2)/(16x^6)