What is expand ((8x^6-9)^2)/(576x^6) ?

The solution to expand ((8x^6-9)^2)/(576x^6) is (x^6)/9-1/4+9/(64x^6)

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expand ((8x^6-9)^2)/(576x^6)

expand

\frac{( 8 x ^{6} - 9 ) ^{2}}{576 x ^{6}}

\frac{x ^{6}}{9} - \frac{1}{4} + \frac{9}{64 x ^{6}}

Solution steps

\frac{( 8 x ^{6} - 9 ) ^{2}}{576 x ^{6}}

(8 x^{6} - 9)^{2} = 64 x^{12} - 144 x^{6} + 81

= \frac{64 x ^{12} - 144 x ^{6} + 81}{576 x ^{6}}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{64 x ^{12} - 144 x ^{6} + 81}{576 x ^{6}} = \frac{64 x ^{12}}{576 x ^{6}} - \frac{144 x ^{6}}{576 x ^{6}} + \frac{81}{576 x ^{6}}

= \frac{64 x ^{12}}{576 x ^{6}} - \frac{144 x ^{6}}{576 x ^{6}} + \frac{81}{576 x ^{6}}

Cancel

\frac{64 x ^{12}}{576 x ^{6}} : \frac{x ^{6}}{9}

= \frac{x ^{6}}{9} - \frac{144 x ^{6}}{576 x ^{6}} + \frac{81}{576 x ^{6}}

Cancel

\frac{144 x ^{6}}{576 x ^{6}} : \frac{1}{4}

= \frac{x ^{6}}{9} - \frac{1}{4} + \frac{81}{576 x ^{6}}

Cancel

\frac{81}{576 x ^{6}} : \frac{9}{64 x ^{6}}

= \frac{x ^{6}}{9} - \frac{1}{4} + \frac{9}{64 x ^{6}}

2 (e + \frac{1}{e} - 2)

\frac{y + 2 z - x}{( y + 2 z ) ^{2}}

(7 x + 3 y = - 2, 6) (4 x + y = - 4)

\frac{\partial}{\partial u} ((f (u)) (1, - 1))

\frac{( 120 - x ) ^{2}}{4}

What is expand ((8x^6-9)^2)/(576x^6) ?
The solution to expand ((8x^6-9)^2)/(576x^6) is (x^6)/9-1/4+9/(64x^6)