SOLUTION: Hi! I need some help simplifying and reducing to lowest terms [(x^3+27)/(x+3)]/[(x^2-3x+9)/(x-3)] Thanks for the help in advance

Algebra ->  Systems-of-equations -> SOLUTION: Hi! I need some help simplifying and reducing to lowest terms [(x^3+27)/(x+3)]/[(x^2-3x+9)/(x-3)] Thanks for the help in advance      Log On


   

Question 66003: Hi! I need some help simplifying and reducing to lowest terms
[(x^3+27)/(x+3)]/[(x^2-3x+9)/(x-3)]
Thanks for the help in advance
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
First of all .... thank you for the wonderful grouping. So many times we have to guess as to what the student is really looking for.
learn this formula/pattern
+%28a%2Fb%29%2F%28c%2Fd%29+=+ad%2Fbc+
+%28%28x%5E3%2B27%29%2F%28x%2B3%29%29%2F%28%28x%5E2-3x%2B9%29%2F%28x-3%29%29+
Outsides become the numerator, insides become the denominator
+%28%28x%5E3%2B27%29%28x-3%29%29%2F%28%28x%5E2-3x%2B9%29%28x%2B3%29%29+
Factor the numerator
+x%5E3+%2B+27+=+%28x%2B3%29%28x%5E2-3x%2B9%29+
+%28%28x%2B3%29%28x%5E2-3x%2B9%29%28x-3%29%29%2F%28%28x%5E2-3x%2B9%29%28x%2B3%29%29+
Cancel the x+3
+%28%28x%5E2-3x%2B9%29%28x-3%29%29%2F%28x%5E2-3x%2B9%29+
Cancel the (x^2-3x+9)
+%28x-3%29+