Mathematics, 13.10.2019 23:30 nana54muller

Can someone pls simplify 2x-1/x^2 -2x-3 + 1/x-3

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In order to simplify $\frac{2x - 1}{x^2 - 2x - 3} + \frac{1}{x - 3}$ , we would factorize its denominator, , then simplify further to get our final answer as: $\frac{3x}{(x - 3)(x +1)}$

To simplify, $\frac{2x - 1}{x^2 - 2x - 3} + \frac{1}{x - 3}$ , first we would need to factorize , which is the denominator of the first fraction.

Thus:

$\frac{2x - 1}{x^2 + x -3x - 3} + \frac{1}{x - 3}\\\\\frac{2x - 1}{x(x + 1)-3(x +1)} + \frac{1}{x - 3}\\\\\frac{2x - 1}{(x - 3)(x +1)} + \frac{1}{x - 3}$

To make both fractions as one:

Find the common denominator of both fractions (common denominator would be, (x - 3)(x + 1).Divide the denominator of each of the fractions and multiply what you get by their numerator to make both fractions as one.Thus:

$\frac{(1)(2x - 1) + (x + 1)(1)}{(x - 3)(x +1)} \\\\\frac{2x - 1 + x + 1}{(x - 3)(x +1)}\\\\$

Simplify further

$\frac{2x + x - 1 + 1}{(x - 3)(x +1)}\\\\\frac{3x}{(x - 3)(x +1)}\\\\$

Therefore, in order to simplify $\frac{2x - 1}{x^2 - 2x - 3} + \frac{1}{x - 3}$ , we would factorize its denominator, , then simplify further to get our final answer as: $\frac{3x}{(x - 3)(x +1)}$

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Answer from: sabrinarasull1pe6s61

see explanation

Step-by-step explanation:

Given

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

Factorise the denominator of the first fraction

x² - 2x - 3 = (x - 3)(x + 1), then

= $\frac{2x-1}{(x-3)(x+1)}$ + $\frac{1}{x-3}$

To add we require the fractions to have a common denominator.

Multiply the numerator/denominator of the fraction on the right by (x + 1)

= $\frac{2x-1}{(x-3)(x+1)}$ + $\frac{x+1}{(x-3)(x+1)}$

Now add the terms on the numerators leaving the denominator

= $\frac{2x-1+x+1}{(x-3)(x+1)}$

= $\frac{3x}{(x-3)(x+1)}$

Answer from: Quest

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

Answer from: Quest

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.

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Can someone pls simplify 2x-1/x^2 -2x-3 + 1/x-3
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