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15

If no denominator equals zero, which expression is equivalent to I

7

+

I + 62

6

OA.

OB.

221 + 132

12 - 36

221 48

12 - 36

22

12 – 36

221 + 48

12 – 36

O C.

OD.

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Sagot :

MrRoyal

Answer:

See Explanation

Step-by-step explanation:

Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.

So, I'll make use of the following expression:

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

When you follow the steps I'm about to provide, you'll arrive at the right answer

Required

Determine an equivalent expression

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]

Step 1: Take L.C.M of the denominators

[tex]LCM = (n+3)(n-4)[/tex]

Step 2: Evaluate the fractions

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]

Step 3: Open the brackets at the numerator

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]

Step 4: Collect and evaluate like terms

[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]

Follow the above steps, and you'll be able to solve your question.

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