Question 91937
find the LCD for 9/a^2+8a+16 and 6a/5a+20
a. 5(a+4)^2
b. (a+4)(5a+20)
c. 5(a+4)^3
d. (a^2+8a+16)(5a+20)

First, factor both denominators:
{{{a^2+8a+16=(a+4)(a+4)}}}
{{{5a+20=5(a+4)}}}
Therefore the LCD has 2 factors of (a+4) and 1 factor of 5.
{{{highlight(5(a+4)^2)}}}
Happy Calculating!!!!