Question

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

Answer 1

See the attached figures.

Answer 2

Answer:

The required steps are shown below.

Step-by-step explanation:

The given expression is

$\frac{3x+6}{x^2-x-6}+\frac{2x}{x^2+x-12}$

Step 1: Factories the numerators and denominators.

$\frac{3(x+2)}{(x+2)(x-3)}+\frac{2x}{(x-3)(x+4)}$

Step 2: Cancel out common factors.

$\frac{3}{(x-3)}+\frac{2x}{(x-3)(x+4)}$

Step 3: Making common denominator.

$\frac{3(x+4)}{(x-3)(x+4)}+\frac{2x}{(x-3)(x+4)}$

Step 4: Taking LCM.

$\frac{(3x+12)+2x}{(x-3)(x+4)}$

Step 5: Simplify the numerator and denominator.

$\frac{5x+12}{(x-3)(x+4)}$

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