What is a^3-1/((a^3))-2a+2/a ?

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

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simplify a^3-1/((a^3))-2a+2/a

simplify

a^{3} - \frac{1}{( a ^{3} )} - 2 a + \frac{2}{a}

\frac{a ^{6} - 1 + 2 a ^{2} - 2 a ^{4}}{a ^{3}}

Solution steps

a^{3} - \frac{1}{a ^{3}} - 2 a + \frac{2}{a}

Join

- \frac{1}{a ^{3}} + \frac{2}{a} : \frac{- 1 + 2 a ^{2}}{a ^{3}}

= a^{3} + \frac{- 1 + 2 a ^{2}}{a ^{3}} - 2 a

Convert

a^{3}

to fraction

: \frac{a ^{6}}{a ^{3}}

Convert

2 a

to fraction

: \frac{2 a ^{4}}{a ^{3}}

= \frac{a ^{6}}{a ^{3}} + \frac{- 1 + 2 a ^{2}}{a ^{3}} - \frac{2 a ^{4}}{a ^{3}}

Apply the fraction rule:

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

= \frac{a ^{6} - 1 + 2 a ^{2} - 2 a ^{4}}{a ^{3}}

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

tan (x) sin (x) + sec (x) cos^{2} (x)

(2 n^{2} - 1)^{2}

\frac{( - 14 x ^{3} )}{( + 2 x ^{2} )}

1 + sin^{2} (x) + cos^{2} (x)

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