SOLUTION: Simplify: X^2+5X+6 x X^2-5X+6 ___________ _____ X^2-4 X^2_9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify: X^2+5X+6 x X^2-5X+6 ___________ _____ X^2-4 X^2_9      Log On


   

Question 117606: Simplify:
X^2+5X+6 x X^2-5X+6
_________________
X^2-4 X^2_9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28x%5E2%2B5x%2B6%29%2F%28x%5E2-4%29%29%28%28x%5E2-5x%2B6%29%2F%28x%5E2-9%29%29 Start with the given expression

%28%28%28x%2B3%29%28x%2B2%29%29%2F%28x%5E2-4%29%29%28%28x%5E2-5x%2B6%29%2F%28x%5E2-9%29%29 Factor x%5E2%2B5x%2B6 to get %28x%2B3%29%28x%2B2%29

Factor x%5E2-4 to get %28x%2B2%29%28x-2%29

Factor x%5E2-5x%2B6 to get %28x-3%29%28x-2%29

Factor x%5E2-9 to get %28x%2B3%29%28x-3%29


%28x%2B3%29%28x%2B2%29%28x-3%29%28x-2%29%2F%28x%2B2%29%28x-2%29%28x%2B3%29%28x-3%29 Combine the fractions


Cancel like terms



1 Simplify




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Answer:

So %28%28x%5E2%2B5x%2B6%29%2F%28x%5E2-4%29%29%28%28x%5E2-5x%2B6%29%2F%28x%5E2-9%29%29 simplifies to 1. In other words %28%28x%5E2%2B5x%2B6%29%2F%28x%5E2-4%29%29%28%28x%5E2-5x%2B6%29%2F%28x%5E2-9%29%29=1