Simplify (x-2)/(x^2+x-6)

$\frac{x - 2}{x^{2} + x - 6}$

Step 1

Factor $x^{2} + x - 6$ 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 $- 6$ and whose sum is $1$ .

$- 2, 3$

Write the factored form using these integers.

$\frac{x - 2}{(x - 2) (x + 3)}$

Step 2

Cancel the common factor of $x - 2$ .

Cancel the common factor.

$\frac{x - 2}{(x - 2) (x + 3)}$

Rewrite the expression.

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

Simplify (x-2)/(x^2+x-6)

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