Question

Simplify 2a + 2 / a^2 – 1

A) 2 / a – 1
B) 2a + 2 / a^2 – 1
C) -2
D) a + 1 / a – 1

Answer 1

ok so the fraction can be rewritten as 2(a+1)/(a+1)(a-1) so u cancel the (a+1) and you get 2/a-1 which is (A)

Answer 2

A.
`(2)/(a-1)`

Explanation:

Given expression is,

`(2a+2)/(a^2-1)`

`=(2(a+1))/(a^2-1)` ( Taking 2 as common from both terms in numerator )

`=(2(a+1))/((a+1)(a-1))` ( a² - b² = (a+b)(a-b) )

`=(2)/(a-1)`

Since, the further simplification is not possible,

Hence, option A is correct.