Simplify

(2a + 2) / a^2 – 1)

2 (a+1) / [(a+1)(a-1)] for starters :)

Thanks much, that helps.

To simplify the given expression, we can start by factoring the denominator.

The denominator expression, a^2 - 1, can be written as the difference of squares:
a^2 - 1 = (a + 1)(a - 1)

Now, we can rewrite the whole expression using the factored denominator:
(2a + 2) / (a + 1)(a - 1)

Next, we can simplify the numerator by factoring out the common factor of 2:
2(a + 1) / (a + 1)(a - 1)

Now, we can cancel out the common factor in the numerator and denominator:
2 / (a - 1)

Therefore, the simplified form of the original expression is 2 / (a - 1).

To simplify the given expression, we can start by looking for any possible algebraic simplifications:

First, we can factor the denominator, a² - 1, using the difference of squares formula (a² - b² = (a + b)(a - b)):
a² - 1 = (a + 1)(a - 1)

Now, let's rewrite the expression with the factored denominator:
(2a + 2) / ((a + 1)(a - 1))

Next, we can look for any common factors between the numerator (2a + 2) and the denominator ((a + 1)(a - 1)). In this case, we can factor out a 2 from the numerator:
2(a + 1) / ((a + 1)(a - 1))

Now we can cancel out the common factor of (a + 1) in the numerator and the denominator:
2 / (a - 1)

Therefore, the simplified expression is 2 / (a - 1).