SOLUTION: Reduce to the lowest term if possible; state any restrictions on the variable (3x+15)/(3xsquared+ 24x+45)

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Question 72235This question is from textbook Elementary Algebra
: Reduce to the lowest term if possible; state any restrictions on the variable
(3x+15)/(3xsquared+ 24x+45)
This question is from textbook Elementary Algebra

Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!

%283x%2B15%29%2F%283x%5E2%2B+24x%2B45%29
3x + 15
_______________ note: 3x^2 + 24x + 45 ≠ 0
3x^2 + 24x + 45

3(x + 5)
________________ (3x + 9) (x + 5)≠ 0
(3x + 9) (x + 5)

cross%283%29 cross%28x+%2B+5%29
________________ restrictions x = -5
cross%283%29(x + 3)cross%28x+%2B+5%29 x = -3

1
________
x + 3