SOLUTION: (x2 + 2x -15)/(x2 – x – 30) ÷ (x2 – 3x - 18)/(x2 – 2x - 24) how to solve this problem and what is the answer?

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Question 307063: (x2 + 2x -15)/(x2 – x – 30) ÷ (x2 – 3x - 18)/(x2 – 2x - 24)

how to solve this problem and what is the answer?
Found 2 solutions by Fombitz, ichudov:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Factor the polynomials and look for identical factors to cancel out.




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Dividing by a fraction is like multiplying by its reciprocal
Answer by ichudov(507)   (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: simplifies to
  • Text form: ((x^2+2x-15)/(x^2-x-30))/((x^2-3x-18)/(x^2-2x-24)) simplifies to (x-3)/(x^2-3*x-18)*(x+4)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((x^2+2x-15)/(x^2-x-30))/((x^2-3x-18)/(x^2-2x-24)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+%28x%5E2%2B2%2Ax-15%29+%29,highlight_red%28+1%2F%28x%5E2-x-30%29+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F%28x%5E2-3%2Ax-18%29+%29,highlight_red%28+%28x%5E2-2%2Ax-24%29+%29
It becomes .
Look at .
Canceled out common factors (x-(-5))
Look at .
Canceled out common factors (x-(6))
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F1+%29
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!
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