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What is the sum?
4x+1/x+2 + x-1/3x

What is the sum? 4x+1/x+2 + x-1/3x-example-1
User Plspl
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2 Answers

2 votes

Answer: c

Step-by-step explanation:

User Uncle Slug
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4 votes

Answer:

C.
(13^(2) + 4x - 2)/(3x(x+2))

Step-by-step explanation:

Since both fractions don't have the same denominator, we have to make them with the same denominator before we can actually do the addition.

So, here's the initial problem:


(4x + 1)/(x + 2) + (x - 1)/(3x)

To make them with the same denominator, we'll multiply each side by 1, using the denominator of the other part... like this:


(4x + 1)/(x + 2) * (3x)/(3x) + (x - 1)/(3x) * (x + 2)/(x + 2)

Since we multiply by 1 (expressed differently, but still just 1), the numbers aren't really changed.

Then we make the multiplications, first part:


(4x + 1)/(x + 2) * (3x)/(3x) = ((12x^(2) + 3x) )/(3x^(2) + 6)

Now the second part:


(x - 1)/(3x) * (x + 2)/(x + 2) = (x^(2) + x -2)/(3x^(2) + 6)

We now have both sides of the addition with the same denominator, and we can add the numerators.


((12x^(2) + 3x) )/(3x^(2) + 6) + (x^(2) + x -2)/(3x^(2) + 6) = (13x^(2) +4x -2)/(3 (x^(2) + 2))

We also simplified the denominator at the end, by extracting the 3 which was common.

User Jrochette
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