SOLUTION: multiply and simplify {{{((a^2-1)/(2-5a))(15a-6)/(a^2+5a-6)}}}

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Question 217244: multiply and simplify
%28%28a%5E2-1%29%2F%282-5a%29%29%2815a-6%29%2F%28a%5E2%2B5a-6%29
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%28a%5E2-1%29%2F%282-5a%29%29%2A%2815a-6%29%2F%28a%5E2%2B5a-6%29 simplifies to -%28a%2B1%29%2A3%2F%28a%2B6%29
  • Text form: ((a^2-1)/(2-5a))*(15a-6)/(a^2+5a-6) simplifies to -(a+1)*3/(a+6)
  • Cartoon (animation) form: simplify_cartoon%28+%28%28a%5E2-1%29%2F%282-5a%29%29%2A%2815a-6%29%2F%28a%5E2%2B5a-6%29+%29
    For tutors: simplify_cartoon( ((a^2-1)/(2-5a))*(15a-6)/(a^2+5a-6) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+%28a%5E2-1%29+%29,highlight_red%28+1%2F%282-5%2Aa%29+%29
It becomes .
Look at %28a%5E2-1%29%2F%28highlight_red%28+2+%29-5%2Aa%29%2A%2815%2Aa-6%29%2F%28a%5E2%2B5%2Aa-6%29.
Moved 2 to the right of expression
It becomes .
Look at .
Canceled out common factors (a-(1))
Look at .
Canceled out common factors (a-(0.4))
Look at highlight_red%28+%28a%2B1%29%2F%28-highlight_red%28+5+%29%29%2A%2815%29%2F%28a%2B6%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F5+%29
It becomes -%28a%2B1%29%2Fhighlight_green%28+5+%29%2A%2815%29%2F%28a%2B6%29.
Look at -highlight_red%28+%28a%2B1%29%2F5%2A%28highlight_red%28+15+%29%29%2F%28a%2B6%29+%29.
Remove unneeded parentheses around factor highlight_red%28+15+%29
It becomes -%28a%2B1%29%2F5%2Ahighlight_green%28+15+%29%2F%28a%2B6%29.
Look at -%28a%2B1%29%2Fhighlight_red%28+5+%29%2Ahighlight_red%28+15+%29%2F%28a%2B6%29.
Factors 15 and 5 have greatest common factor (GCF) of 5. Reducing fraction.
It becomes -%28a%2B1%29%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+3+%29%2F%28a%2B6%29.
Look at -%28a%2B1%29%2Fhighlight_red%28+1+%29%2A3%2F%28a%2B6%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes -%28a%2B1%29%2A3%2F%28a%2B6%29.
Result: -%28a%2B1%29%2A3%2F%28a%2B6%29

Universal Simplifier and Solver


Done!