document.write( "Question 6288: I am having trouble with a question, My question is multiply,\r
\n" ); document.write( "\n" ); document.write( " r^2+7r+10 3r-30
\n" ); document.write( "------------ by ----------
\n" ); document.write( " 3 r^2-5r-50\r
\n" ); document.write( "\n" ); document.write( "I think the answer is \r
\n" ); document.write( "\n" ); document.write( " 3r+6
\n" ); document.write( "--------
\n" ); document.write( " 2\r
\n" ); document.write( "\n" ); document.write( "Am I right, Can someone let me know? \n" ); document.write( "
Algebra.Com's Answer #3357 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( "
    \n" ); document.write( "
  • Graphical form: \"%28%28r%5E2%2B7r%2B10%29%2F3%29%2A%28%283r-30%29%2F%28r%5E2-5r-50%29%29\" simplifies to \"r%2B2\"
  • Text form: ((r^2+7r+10)/3)*((3r-30)/(r^2-5r-50)) simplifies to r+2
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( ((r^2+7r+10)/3)*((3r-30)/(r^2-5r-50)) )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at .
Remove unneeded parentheses around factor \"highlight_red%28+%28r%5E2%2B7%2Ar%2B10%29+%29\",\"highlight_red%28+1%2F3+%29\"
It becomes .
\n" ); document.write( "
Look at .
Remove unneeded parentheses around factor \"highlight_red%28+%283%2Ar-30%29+%29\",\"highlight_red%28+1%2F%28r%5E2-5%2Ar-50%29+%29\"
It becomes .
\n" ); document.write( "
Look at .
Canceled out common factors (r-(-5))
\n" ); document.write( "
Look at \"%28r%2B2%29%2F3%2Ahighlight_red%28+%283%2Ar-30%29+%29%2Fhighlight_red%28+%28r-10%29+%29\".
Canceled out common factors (r-(10))
\n" ); document.write( "
Look at \"highlight_red%28+%28r%2B2%29%2F3%2A%28highlight_red%28+3+%29%29%2F%281%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"%28r%2B2%29%2F3%2Ahighlight_green%28+3+%29%2F%281%29\".
\n" ); document.write( "
Look at \"highlight_red%28+%28r%2B2%29%2F3%2A3%2F%28highlight_red%28+1+%29%29+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+1%2F1+%29\"
It becomes \"%28r%2B2%29%2F3%2A3%2Fhighlight_green%28+1+%29\".
\n" ); document.write( "
Look at \"%28r%2B2%29%2Fhighlight_red%28+3+%29%2Ahighlight_red%28+3+%29%2F1\".
Factors 3 and 3 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes \"%28r%2B2%29%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+1+%29%2F1\".
\n" ); document.write( "
Look at \"%28r%2B2%29%2Fhighlight_red%28+1+%29%2A1%2Fhighlight_red%28+1+%29\".
Multiplied denominator integers
It becomes \"%28r%2B2%29%2Fhighlight_green%28+1+%29%2A1\".
\n" ); document.write( "
Look at \"%28r%2B2%29%2Fhighlight_red%28+1+%29%2Ahighlight_red%28+1+%29\".
Reduce similar several occurrences of \"highlight_red%28+1%2F1+%29\" to
It becomes \"%28r%2B2%29\".
\n" ); document.write( "
Look at \"highlight_red%28+%28r%2B2%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+r+%29\",\"highlight_red%28+2+%29\"
It becomes \"highlight_green%28+r+%29%2Bhighlight_green%28+2+%29\".
Result: \"r%2B2\"
\n" ); document.write( "

Universal Simplifier and Solver

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