document.write( "Question 6690: Can you please help me answer this equaton?\r
\n" ); document.write( "\n" ); document.write( "Combine:(3x^3-4x^2)+(-7-3x^3)-(-4x^2+2x)
\n" ); document.write( "

Algebra.Com's Answer #3681 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: \"%283x%5E3-4x%5E2%29%2B%28-7-3x%5E3%29-%28-4x%5E2%2B2x%29\" simplifies to \"-2%2Ax-7\"
  • Text form: (3x^3-4x^2)+(-7-3x^3)-(-4x^2+2x) simplifies to -2*x-7
  • Cartoon (animation) form: \"simplify_cartoon%28+%283x%5E3-4x%5E2%29%2B%28-7-3x%5E3%29-%28-4x%5E2%2B2x%29+%29\"
    For tutors: simplify_cartoon( (3x^3-4x^2)+(-7-3x^3)-(-4x^2+2x) )
  • \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 \"highlight_red%28+%283%2Ax%5E3-4%2Ax%5E2%29+%29%2B%28-7-3%2Ax%5E3%29-%28-4%2Ax%5E2%2B2%2Ax%29\".
Remove unneeded parentheses around terms \"highlight_red%28+3%2Ax%5E3+%29\",\"highlight_red%28+-4%2Ax%5E2+%29\"
It becomes .
\n" ); document.write( "
Look at \"3%2Ax%5E3-4%2Ax%5E2%2Bhighlight_red%28+%28-7-3%2Ax%5E3%29+%29-%28-4%2Ax%5E2%2B2%2Ax%29\".
Remove unneeded parentheses around terms \"highlight_red%28+-7+%29\",\"highlight_red%28+-3%2Ax%5E3+%29\"
It becomes .
\n" ); document.write( "
Look at \"3%2Ax%5E3-4%2Ax%5E2-7-3%2Ax%5E3-highlight_red%28+%28-4%2Ax%5E2%2B2%2Ax%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+4%2Ax%5E2+%29\",\"highlight_red%28+-2%2Ax+%29\"
It becomes .
\n" ); document.write( "
Look at \"3%2Ax%5E3-4%2Ax%5E2-highlight_red%28+7+%29-3%2Ax%5E3%2B4%2Ax%5E2-2%2Ax\".
Moved \"-7\" to the right of expression
It becomes \"3%2Ax%5E3-4%2Ax%5E2-3%2Ax%5E3%2B4%2Ax%5E2-2%2Ax-highlight_green%28+7+%29\".
\n" ); document.write( "
Look at \"highlight_red%28+3%2Ax%5E3+%29-4%2Ax%5E2-highlight_red%28+3%2Ax%5E3+%29%2B4%2Ax%5E2-2%2Ax-7\".
Eliminated similar terms \"highlight_red%28+3%2Ax%5E3+%29\",\"highlight_red%28+-3%2Ax%5E3+%29\" replacing them with \"highlight_green%28+%283-3%29%2Ax%5E3+%29\"
It becomes \"highlight_green%28+%283-3%29%2Ax%5E3+%29-4%2Ax%5E2%2B4%2Ax%5E2-2%2Ax-7\".
\n" ); document.write( "
Look at \"%283-3%29%2Ax%5E3-highlight_red%28+4%2Ax%5E2+%29%2Bhighlight_red%28+4%2Ax%5E2+%29-2%2Ax-7\".
Eliminated similar terms \"highlight_red%28+-4%2Ax%5E2+%29\",\"highlight_red%28+4%2Ax%5E2+%29\" replacing them with \"highlight_green%28+%28-4%2B4%29%2Ax%5E2+%29\"
It becomes \"%283-3%29%2Ax%5E3%2Bhighlight_green%28+%28-4%2B4%29%2Ax%5E2+%29-2%2Ax-7\".
\n" ); document.write( "
Look at \"highlight_red%28+%283-3%29%2Ax%5E3+%29%2B%28-4%2B4%29%2Ax%5E2-2%2Ax-7\".
Since \"highlight_red%28+%283-3%29%2Ax%5E3+%29\" has zero as a factor, it should be replaced with a zero
\n" ); document.write( "
Look at \"0%2B%28-4%2B4%29%2Ax%5E2-2%2Ax-7\".
Added fractions or integers together
It becomes \"0%2B%28-4%2B4%29%2Ax%5E2-2%2Ax-7\".
\n" ); document.write( "
Look at \"0%2Bhighlight_red%28+%28-4%2B4%29%2Ax%5E2+%29-2%2Ax-7\".
Since \"highlight_red%28+%28-4%2B4%29%2Ax%5E2+%29\" has zero as a factor, it should be replaced with a zero
\n" ); document.write( "
Look at \"0%2B0-2%2Ax-7\".
Added fractions or integers together
It becomes \"0%2B0-2%2Ax-7\".
\n" ); document.write( "
Look at \"highlight_red%28+0+%29%2B0-2%2Ax-7\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"0-2%2Ax-7\".
\n" ); document.write( "
Look at \"highlight_red%28+0+%29-2%2Ax-7\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"-2%2Ax-7\".
Result: \"-2%2Ax-7\"
\n" ); document.write( "

Universal Simplifier and Solver

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