Add the rational expressions. Write your answer in its fully factored form. (8)/(y^2)+17y+72+(4)/(y+8)

Question

Add the rational expressions. Write your answer in its fully factored form. (8)/(y^2)+17y+72+(4)/(y+8)

Answer 1

To add the rational expressions, we need to find a common denominator. The common denominator is the least common multiple (LCM) of the two denominators. The LCM of

and

is

because

is a factor of

.Now, we rewrite each fraction with the common denominator:

Next, we combine the numerators over the common denominator:

Simplify the numerator:

So, the expression becomes:

Factor out the common factor in the numerator:

Thus, the fully factored form of the expression is:

Question

Add the rational expressions. Write your answer in its fully factored form. (8)/(y^2)+17y+72+(4)/(y+8)

Solution

Resposta