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

Answer:

A. $\frac{2}{a-1}$

Step-by-step explanation:

Given expression is,

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

$=\frac{2(a+1)}{a^2-1}$   ( Taking 2 as common from both terms in numerator )

$=\frac{2(a+1)}{(a+1)(a-1)}$  ( a² - b² = (a+b)(a-b) )

$=\frac{2}{a-1}$  

Since, the further simplification is not possible,

Hence, option A is correct.