SOLUTION: 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) my final is tomorrow and i still dont understand this LCD concept.

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: 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) my final is tomorrow and i still dont understand this LCD concept.       Log On

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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)
my final is tomorrow and i still dont understand this LCD concept.
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
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%5E2%2B8a%2B16=%28a%2B4%29%28a%2B4%29
5a%2B20=5%28a%2B4%29
Therefore the LCD has 2 factors of (a+4) and 1 factor of 5.
highlight%285%28a%2B4%29%5E2%29
Happy Calculating!!!!