Question

guided practice
lets try another addition problem.
simplify.
\\(\frac{3p}{2p + 10}+\frac{2}{p^2 - 25}\\)
step 1
find the lcm of the denominators.
write the factors of each denominator.
\\(\

$$\begin{array}{|c|c|}\\hline 2p + 10 & p^2 - 25 \\\\\\hline 2(p + 5) & (p + 5)(p - 5) \\\\\\hline\\end{array}$$

\\)
combining rational expressions
type your answer and then click or tap done.
what is the lcm?
lcm =

Explanation:

Step1: Factor denominators

First denominator: $2p + 10 = 2(p + 5)$
Second denominator: $p^2 - 25 = (p + 5)(p - 5)$

Step2: Find LCM

LCM takes highest powers of all factors: $2(p + 5)(p - 5)$

Answer:

$2(p + 5)(p - 5)$