Question

Simplify
(x-2)/(x² +x-6)​

Answer 1

Answer:

Consider the form

x

2

+

b

x

+

c

x2+bx+c. Find a pair of integers whose product is

c

c and whose sum is

b

b. In this case, whose product is

−

6

-6 and whose sum is

−

1

-1.

−

3

,

2

-3,2

Write the factored form using these integers.

x

+

2

(

x

−

3

)

(

x

+

2

)

x+2(x-3)(x+2)

Cancel the common factor of

x

+

2

x+2.

Answer 2

Answer:

1/x+3

Step-by-step explanation:

x-2/x²+x-6

=x-2/x²+3x-2x-6

=x-2/x(x+3)-2(x+3)

=x-2/(x-2)(x+3)

=1/x+3