SOLUTION: I NEED HELP TO LEARN HOW TO SIMPLIFY THIS EQUATION X SQUARED+8X+15 DIVIDED BY X SQUARED +5X+6

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Question 194961: I NEED HELP TO LEARN HOW TO SIMPLIFY THIS EQUATION
X SQUARED+8X+15 DIVIDED BY X SQUARED +5X+6
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I NEED HELP TO LEARN HOW TO SIMPLIFY THIS EQUATION
X SQUARED+8X+15 DIVIDED BY X SQUARED +5X+6
----------------
%28x%5E2+%2B+8x+%2B+15%29%2F%28x%5E2+%2B+5x+%2B+6%29
Factor (if possible) both trinomials.
= (x+3)*(x+5)/((x+3)*(x+2))
Cancel the (x+3)
= (x+5)/(x+2)
That's all that can be done.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Please don't type in all uppercase. It's hard to read that way.



%28x%5E2%2B8x%2B15%29%2F%28x%5E2%2B5x%2B6%29 Start with the given expression.


%28%28x%2B5%29%28x%2B3%29%29%2F%28x%5E2%2B5x%2B6%29 Factor x%5E2%2B8x%2B15 to get %28x%2B5%29%28x%2B3%29.


%28%28x%2B5%29%28x%2B3%29%29%2F%28%28x%2B3%29%28x%2B2%29%29 Factor x%5E2%2B5x%2B6 to get %28x%2B3%29%28x%2B2%29.


%28%28x%2B5%29highlight%28%28x%2B3%29%29%29%2F%28highlight%28%28x%2B3%29%29%28x%2B2%29%29 Highlight the common terms.


%28%28x%2B5%29cross%28%28x%2B3%29%29%29%2F%28cross%28%28x%2B3%29%29%28x%2B2%29%29 Cancel out the common terms.


%28x%2B5%29%2F%28x%2B2%29 Simplify.


So %28x%5E2%2B8x%2B15%29%2F%28x%5E2%2B5x%2B6%29 simplifies to %28x%2B5%29%2F%28x%2B2%29.


In other words, %28x%5E2%2B8x%2B15%29%2F%28x%5E2%2B5x%2B6%29=%28x%2B5%29%2F%28x%2B2%29 where x%3C%3E-3 or x%3C%3E-2