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Find the sum of the terms.



The numerator of the simplified sum is

Find the sum of the terms. The numerator of the simplified sum is-example-1
User Lzh
by
7.6k points

2 Answers

3 votes

Answer:

4x+6: C

Explanation:

User Tony Tarng
by
8.1k points
5 votes

Answer:


4x+6 is the numerator.

Explanation:

The given term is:


(x)/(x^(2)+3x+2 )+(3)/(x+1)

First of all, let us have a look at the denominator of the 1st term:


x^(2)+3x+2

Factorizing by writing
3x as
2x+x and then taking 'x' and '1' common respectively:


x^(2)+2x+x+2 \\\Rightarrow x(x+2)+1(x+2 )\\\Rightarrow (x+1)(x+2 )

Now, solving the given expression by taking LCM:


\frac{x}{(x+{2})(x+1)}+(3)/(x+1)\\\Rightarrow \frac{x+3(x+2)}{(x+{2})(x+1)}\\\Rightarrow \frac{x+3x+6}{(x+{2})(x+1)}\\\Rightarrow \frac{4x+6}{(x+{2})(x+1)}

Any expression
(p)/(q) has
p as its numerator and
q as its denominator.

So, the numerator of simplified term is:


4x+6

User Parzi
by
8.3k points

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