Question

add.
\\(\frac{5}{x+3} + \frac{4x+7}{x+3}\\)
simplify your answer as much as possible.

Explanation:

Step1: Add numerators (common denominator)

Since the denominators are the same ($x + 3$), we add the numerators: $5 + (4x + 7)$.

Step2: Simplify numerator

Simplify $5 + 4x + 7 = 4x + 12$.

Step3: Factor numerator

Factor $4x + 12$ as $4(x + 3)$.

Step4: Cancel common factor

The fraction becomes $\frac{4(x + 3)}{x + 3}$. Cancel $x + 3$ (assuming $x
eq -3$), leaving $4$.

Answer:

$4$