Question

Place the steps required to determine the sum of the two expressions in the correct order.

Answer 1

The required steps are shown below.

Explanation:

The given expression is

`(3x+6)/(x^2-x-6)+(2x)/(x^2+x-12)`

Step 1: Factories the numerators and denominators.

`(3(x+2))/((x+2)(x-3))+(2x)/((x-3)(x+4))`

Step 2: Cancel out common factors.

`(3)/((x-3))+(2x)/((x-3)(x+4))`

Step 3: Making common denominator.

`(3(x+4))/((x-3)(x+4))+(2x)/((x-3)(x+4))`

Step 4: Taking LCM.

`((3x+12)+2x)/((x-3)(x+4))`

Step 5: Simplify the numerator and denominator.

`(5x+12)/((x-3)(x+4))`

Therefore the arrangement of required steps are shown in the below attachment.

Answer 2

See the attached figures.