document.write( "Question 30915This question is from textbook Algebra Structure and Method Book 1
\n" ); document.write( ": 6+x-x^2 / x^2-13x+42 divided by 2x^2-5x-3 / 2x^2-13x-7 \n" ); document.write( "

Algebra.Com's Answer #17662 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: simplifies to $\"%28-x-2%29%2F%28x-6%29\"$
Text form: ((6+x-x^2)/(x^2-13x+42))/((2x^2-5x-3)/(2x^2-13x-7)) simplifies to (-x-2)/(x-6)
Cartoon (animation) form:
For tutors: simplify_cartoon( ((6+x-x^2)/(x^2-13x+42))/((2x^2-5x-3)/(2x^2-13x-7)) )
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 $\"highlight_red%28+%286%2Bx-x%5E2%29+%29\"$ , $\"highlight_red%28+1%2F%28x%5E2-13%2Ax%2B42%29+%29\"$
It becomes

.
\n" ); document.write( "

Look at

.
Remove unneeded parentheses around factor $\"highlight_red%28+1%2F%282%2Ax%5E2-5%2Ax-3%29+%29\"$ , $\"highlight_red%28+%282%2Ax%5E2-13%2Ax-7%29+%29\"$
It becomes

.
\n" ); document.write( "

Look at

.
Moved $\"6\"$ to the right of expression
It becomes

.
\n" ); document.write( "

Look at

.
Canceled out common factors (x-(3))
\n" ); document.write( "

Look at

.
Canceled out common factors (x-(7))
\n" ); document.write( "

Look at

.
Reduce similar several occurrences of $\"highlight_red%28+1%2F%282%2Ax%2B1%29+%29\"$ to
It becomes $\"%28-x-2%29%2F%28x-6%29\"$ .
Result: $\"%28-x-2%29%2F%28x-6%29\"$
\n" ); document.write( "

Universal Simplifier and Solver

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

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

\n" );