Simplify (x+1)/(x^2-2x-3)

$\frac{x + 1}{x^{2} - 2 x - 3}$

Step 1

Factor $x^{2} - 2 x - 3$ using the AC method.

Consider the form $x^{2} + b x + c$ . Find a pair of integers whose product is $c$ and whose sum is $b$ . In this case, whose product is $- 3$ and whose sum is $- 2$ .

$- 3, 1$

Write the factored form using these integers.

$\frac{x + 1}{(x - 3) (x + 1)}$

Step 2

Cancel the common factor of $x + 1$ .

Cancel the common factor.

$\frac{x + 1}{(x - 3) (x + 1)}$

Rewrite the expression.

$\frac{1}{x - 3}$

Simplify (x+1)/(x^2-2x-3)

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