SOLUTION: please find the lowest common denominator of {{{(p + 3) / (p^2 + 7p + 10)}}} and {{{(p+ 5) / (p^2 + 5p + 6)}}}. thank you a. (p + 2)2 b. (p + 2) c. (p + 5)(p + 3) d. (p + 5)

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: please find the lowest common denominator of {{{(p + 3) / (p^2 + 7p + 10)}}} and {{{(p+ 5) / (p^2 + 5p + 6)}}}. thank you a. (p + 2)2 b. (p + 2) c. (p + 5)(p + 3) d. (p + 5)      Log On


   

Question 7265: please find the lowest common denominator of %28p+%2B+3%29+%2F+%28p%5E2+%2B+7p+%2B+10%29 and %28p%2B+5%29+%2F+%28p%5E2+%2B+5p+%2B+6%29. thank you
a. (p + 2)2
b. (p + 2)
c. (p + 5)(p + 3)
d. (p + 5)(p + 2)(p + 3)
Answer by bonster(299) About Me  (Show Source):
You can put this solution on YOUR website!
Since we're only looking at the denominators, we don't need to look at the numerators at all. So if you take that out, this is what we get:

%28p%5E2+%2B+7p+%2B+10%29 and %28p%5E2+%2B+5p+%2B+6%29
factorize the two:
%28p%5E2+%2B+7p+%2B+10%29= (p+5)(p+2)

%28p%5E2+%2B+5p+%2B+6%29= (p+3)(p+2)

The LCD= (p+2)(p+3)(p+5), answer=D