Question

a^3-1/a^3-2a+2/a what will be the answer of this question?

Answer 1

Answer:

a³ - 1/a³ - 2a + 2/a

= (a - 1/a){a² + (a × 1/a) + 1/a²} - 2(a - 1/a)

= (a - 1/a)(a² + 1/a² + 1) - 2(a - 1/a)

= (a - 1/a)(a² + 1/a² + 1 - 2)

= (a - 1/a)(a² + 1/a² - 1),

which is the required factorization.