document.write( "Question 217244: multiply and simplify
\n" ); document.write( " $\"%28%28a%5E2-1%29%2F%282-5a%29%29%2815a-6%29%2F%28a%5E2%2B5a-6%29\"$ \n" ); document.write( "

Algebra.Com's Answer #163918 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

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.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

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

.
\n" ); document.write( "

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

.
\n" ); document.write( "

Look at

.
Canceled out common factors (a-(1))
\n" ); document.write( "

Look at

.
Canceled out common factors (a-(0.4))
\n" ); document.write( "

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 $\"-%28a%2B1%29%2Fhighlight_green%28+5+%29%2A%2815%29%2F%28a%2B6%29\"$ .
\n" ); document.write( "

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 $\"-%28a%2B1%29%2F5%2Ahighlight_green%28+15+%29%2F%28a%2B6%29\"$ .
\n" ); document.write( "

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 $\"-%28a%2B1%29%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+3+%29%2F%28a%2B6%29\"$ .
\n" ); document.write( "

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: $\"-%28a%2B1%29%2A3%2F%28a%2B6%29\"$
\n" ); document.write( "

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( " \n" ); document.write( "

\n" );