149k views
1 vote
Simplify the given expression and (2)/(x+3)+5

1 Answer

1 vote

Final answer:

To simplify the expression (2)/(x+3)+5, rewrite 5 as a fraction with the denominator (x+3) resulting in the expression (2 + 5(x+3))/(x+3). Combine like terms to get (5x + 17)/(x+3) as the simplified form.

Step-by-step explanation:

To simplify the expression (2)/(x+3)+5, we need to manipulate the expression so that it is in a more easily understandable form. Currently, we have a fraction and a whole number, so we cannot combine them directly. We need to find a common denominator in order to combine the terms. Since the only denominator present is (x+3), we use this as our common denominator.

We can rewrite the whole number 5 as a fraction with the denominator (x+3). To do this, we multiply 5 by (x+3)/(x+3), which gives us 5(x+3)/(x+3). Now, the expression is:

(2)/(x+3) + 5(x+3)/(x+3)

Next, we combine the numerators to get a single fraction:

(2 + 5(x+3))/(x+3)

Expanding the numerator gives us:

(2 + 5x + 15)/(x+3)

And combining like terms in the numerator:

(5x + 17)/(x+3)

So, the simplified expression is (5x + 17)/(x+3).

User Daniel Lavoie
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories