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OleMash [197]
3 years ago
14

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

Mathematics
2 answers:
faust18 [17]3 years ago
4 0
See the attached figures.

vitfil [10]3 years ago
3 0

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.

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