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

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


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Factor the polynomials and look for identical factors to cancel out.
x%5E2%2B2x-15=%28x%2B5%29%28x-3%29
x%5E2-x-30=%28x-6%29%28x%2B5%29
x%5E2-3x-18=%28x-6%29%28x%2B3%29
x%5E2-2x-24=%28x-6%29%28x%2B4%29
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.
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%28x%5E2%2B2x-15%29%2F%28x%5E2-x-30%29=+%28x-3%29%2F%28x-6%29
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.
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%28x%5E2-3x-18%29%2F%28x%5E2-2x-24%29=+%28x%2B3%29%2F%28x%2B4%29
Dividing by a fraction is like multiplying by its reciprocal

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: %28%28x%5E2%2B2x-15%29%2F%28x%5E2-x-30%29%29%2F%28%28x%5E2-3x-18%29%2F%28x%5E2-2x-24%29%29 simplifies to %28x-3%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29
  • 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 %28x-3%29%2Fhighlight_green%28+1+%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29.
Look at %28x-3%29%2Fhighlight_red%28+1+%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes %28x-3%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29.
Result: %28x-3%29%2F%28x%5E2-3%2Ax-18%29%2A%28x%2B4%29

Universal Simplifier and Solver


Done!