SOLUTION: I need to simplify, can you help? (3x+9)/(x^2-x-12 * (x^2+5x+6)/(24x+48)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: I need to simplify, can you help? (3x+9)/(x^2-x-12 * (x^2+5x+6)/(24x+48)      Log On


   

Question 34347: I need to simplify, can you help?
(3x+9)/(x^2-x-12 * (x^2+5x+6)/(24x+48)
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %283x%2B9%29%2F%28x%5E2-x-12%29%2A%28x%5E2%2B5x%2B6%29%2F%2824x%2B48%29 simplifies to %28x%2B3%29%2F%28x-4%29%2F8
  • Text form: (3x+9)/(x^2-x-12)*(x^2+5x+6)/(24x+48) simplifies to (x+3)/(x-4)/8
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (3x+9)/(x^2-x-12)*(x^2+5x+6)/(24x+48) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Canceled out common factors (x-(-3))
Look at .
Remove unneeded parentheses around factor highlight_red%28+3+%29
It becomes highlight_green%28+3+%29%2F%28x-4%29%2A%28x%5E2%2B5%2Ax%2B6%29%2F%2824%2Ax%2B48%29.
Look at .
Canceled out common factors (x-(-2))
Look at highlight_red%28+3%2F%28x-4%29%2A%28x%2B3%29%2F%28highlight_red%28+24+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F24+%29
It becomes 3%2F%28x-4%29%2A%28x%2B3%29%2Fhighlight_green%28+24+%29.
Look at highlight_red%28+3+%29%2F%28x-4%29%2A%28x%2B3%29%2Fhighlight_red%28+24+%29.
Factors 3 and 24 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes highlight_green%28+1+%29%2F%28x-4%29%2A%28x%2B3%29%2Fhighlight_green%28+8+%29.
Look at highlight_red%28+1+%29%2F%28x-4%29%2A%28x%2B3%29%2F8.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes %28x%2B3%29%2F%28x-4%29%2F8.
Result: %28x%2B3%29%2F%28x-4%29%2F8

Universal Simplifier and Solver


Done!