# How do you simplify #(x^2+3x+2)/(x^2-1)#?

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First we should split the middle term

By the video... you should have understood that we need to make

You should always remember that

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Factorize

It is a law of exponents

You are left with

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To simplify the expression (x^2+3x+2)/(x^2-1), you can factor both the numerator and the denominator. The numerator can be factored as (x+1)(x+2), and the denominator can be factored as (x+1)(x-1).

Next, you can cancel out the common factor of (x+1) in both the numerator and the denominator.

After canceling out the common factor, the simplified expression becomes (x+2)/(x-1).

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