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

What is the sum? 4x+1/x+2 + x-1/3x - id412132896582, npaslayoy1bzj

hdjehd

05.01.2022

C. $\frac{13^{2} + 4x - 2}{3x(x+2)}$

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:

$\frac{4x + 1}{x + 2} + \frac{x - 1}{3x}$

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

$\frac{4x + 1}{x + 2} * \frac{3x}{3x} + \frac{x - 1}{3x} * \frac{x + 2}{x + 2}$

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

Then we make the multiplications, first part:

$\frac{4x + 1}{x + 2} * \frac{3x}{3x} = \frac{(12x^{2} + 3x) }{3x^{2} + 6}$

Now the second part:

$\frac{x - 1}{3x} * \frac{x + 2}{x + 2} = \frac{x^{2} + x -2}{3x^{2} + 6}$

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

$\frac{(12x^{2} + 3x) }{3x^{2} + 6} + \frac{x^{2} + x -2}{3x^{2} + 6} = \frac{13x^{2} +4x -2}{3 (x^{2} + 2)}$

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

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smileymanielle1

13.03.2022

Hello!

In this equation, the element we are working with is C, which is carbon. The number 6 represents the atomic number, and 13 is the atomic mass.

We know that the number of elections are equal to the atomic number, and the number of protons are also equal to the atomic number.

While, the number of neutrons are determined by subtracting the atomic mass by the atomic number.

13 - 6 = 7 neutrons

Therefore, there are 6 protons, 6 electrons, and 7 neutrons.

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