SOLUTION: simplify the rational expression {{{x^2+11x+30 over x^2+12x+36}}}

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Question 459818: simplify the rational expression
x%5E2%2B11x%2B30+over+x%5E2%2B12x%2B36
Answer by algebrahouse.com(1659) About Me  (Show Source):
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x² + 11x + 30
--------------
x² + 12x + 36

(x + 6)(x + 5)
--------------- {factored top and bottom into two binomials}
(x + 6)(x + 6)

x + 5
------ {cancelled x + 6 on top and bottom}
x + 6
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