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

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Question 217244: multiply and simplify

Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
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YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: ((a^2-1)/(2-5a))*(15a-6)/(a^2+5a-6) simplifies to -(a+1)*3/(a+6)
  • Cartoon (animation) form:
    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 .
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 .
Remove unneeded parentheses around factor highlight_red%28+1%2F5+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+15+%29
It becomes .
Look at .
Factors 15 and 5 have greatest common factor (GCF) of 5. Reducing fraction.
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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