SOLUTION: Dividing Rational Expressions: I would like help on how to divide rational expressions. Divide and Simplify. {{{ (x^2+9)/(5(x+2)) }}} / {{{ (x+3)/(5(x^2-4)) }}}

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Dividing Rational Expressions: I would like help on how to divide rational expressions. Divide and Simplify. {{{ (x^2+9)/(5(x+2)) }}} / {{{ (x+3)/(5(x^2-4)) }}}      Log On

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Question 72427: Dividing Rational Expressions:
I would like help on how to divide rational expressions.
Divide and Simplify.
+%28x%5E2%2B9%29%2F%285%28x%2B2%29%29+ / +%28x%2B3%29%2F%285%28x%5E2-4%29%29+
Answer by Cintchr(475) About Me  (Show Source):
You can put this solution on YOUR website!
+%28x%5E2%2B9%29%2F%285%28x%2B2%29%29+ / +%28x%2B3%29%2F%285%28x%5E2-4%29%29+
There is a rule :
+%28a%2Fb%29%2F%28c%2Fd%29+=+%28ad%29%2F%28bc%29+
Apply this to the problem
+%28%28x%5E2%2B9%29%285%28x%5E2-4%29%29%29%2F%28%28x%2B3%29%285%28x%2B2%29%29%29+
Factor the x%5E2-4 in the numerator
+%28%28x%5E2%2B9%29%285%28%28x-2%29%28x%2B2%29%29%29%29%2F%28%28x%2B3%29%285%28x%2B2%29%29%29+
Cancel the 5 in the numerator and denominator
+%28%28x%5E2%2B9%29%28x-2%29%28x%2B2%29%29%2F%28%28x%2B3%29%28x%2B2%29%29+
Cancel the x+2 in the numerator and denominator
+%28%28x%5E2%2B9%29%28x-2%29%29%2F%28x%2B3%29+
Assuming that the +x%5E2%2B9+ is really a + and not a - .... then you are done.