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

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

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

simplify

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

(a + 1) (a - 1)

Solution steps

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

Factor

2 a^{3} - 2 a : 2 a (a^{2} - 1)

= \frac{2 a ( a ^{2} - 1 )}{2 a}

Factor

a^{2} - 1 : (a + 1) (a - 1)

= \frac{2 a ( a + 1 ) ( a - 1 )}{2 a}

Cancel the common factor:

2

= \frac{a ( a + 1 ) ( a - 1 )}{a}

Cancel the common factor:

a

= (a + 1) (a - 1)

- \frac{1}{2} + \frac{4}{5}

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