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

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

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.

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

Step 2

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

$- 2, 1$

Write the factored form using these integers.

$\frac{(x - 2) (x + 3)}{(x - 2) (x + 1)}$

Step 3

Cancel the common factor of $x - 2$ .

Cancel the common factor.

$\frac{(x - 2) (x + 3)}{(x - 2) (x + 1)}$

Rewrite the expression.

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

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

Related Questions

Support LCMGCF.com by disabling your adblocker.