document.write( "Question 631768: Add:
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Algebra.Com's Answer #397793 by 55305(86)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"%284x%5E3-3x%2B9%29%2B%28-2x%5E2-4%29%2B%288x%2B3x%5E3%29\" simplifies to \"7%2Ax%5E3%2B5%2Ax-2%2Ax%5E2%2B5\"
  • Text form: (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) simplifies to 7*x^3+5*x-2*x^2+5
  • Cartoon (animation) form: \"simplify_cartoon%28+%284x%5E3-3x%2B9%29%2B%28-2x%5E2-4%29%2B%288x%2B3x%5E3%29+%29\"
    For tutors: simplify_cartoon( (4x^3-3x+9)+(-2x^2-4)+(8x+3x^3) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at .
Remove unneeded parentheses around terms \"highlight_red%28+4%2Ax%5E3+%29\",\"highlight_red%28+-3%2Ax+%29\",\"highlight_red%28+9+%29\"
It becomes .
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Look at \"4%2Ax%5E3-3%2Ax%2B9%2Bhighlight_red%28+%28-2%2Ax%5E2-4%29+%29%2B%288%2Ax%2B3%2Ax%5E3%29\".
Remove unneeded parentheses around terms \"highlight_red%28+-2%2Ax%5E2+%29\",\"highlight_red%28+-4+%29\"
It becomes .
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Look at \"4%2Ax%5E3-3%2Ax%2B9-2%2Ax%5E2-4%2Bhighlight_red%28+%288%2Ax%2B3%2Ax%5E3%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+8%2Ax+%29\",\"highlight_red%28+3%2Ax%5E3+%29\"
It becomes .
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Look at .
Added fractions or integers together
It becomes \"4%2Ax%5E3-3%2Ax%2Bhighlight_green%28+5+%29-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3\".
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Look at \"4%2Ax%5E3-3%2Ax%2Bhighlight_red%28+5+%29-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3\".
Moved \"5\" to the right of expression
It becomes \"4%2Ax%5E3-3%2Ax-2%2Ax%5E2%2B8%2Ax%2B3%2Ax%5E3%2Bhighlight_green%28+5+%29\".
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Look at \"highlight_red%28+4%2Ax%5E3+%29-3%2Ax-2%2Ax%5E2%2B8%2Ax%2Bhighlight_red%28+3%2Ax%5E3+%29%2B5\".
Eliminated similar terms \"highlight_red%28+4%2Ax%5E3+%29\",\"highlight_red%28+3%2Ax%5E3+%29\" replacing them with \"highlight_green%28+%284%2B3%29%2Ax%5E3+%29\"
It becomes \"highlight_green%28+%284%2B3%29%2Ax%5E3+%29-3%2Ax-2%2Ax%5E2%2B8%2Ax%2B5\".
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Look at \"%284%2B3%29%2Ax%5E3-highlight_red%28+3%2Ax+%29-2%2Ax%5E2%2Bhighlight_red%28+8%2Ax+%29%2B5\".
Eliminated similar terms \"highlight_red%28+-3%2Ax+%29\",\"highlight_red%28+8%2Ax+%29\" replacing them with \"highlight_green%28+%28-3%2B8%29%2Ax+%29\"
It becomes \"%284%2B3%29%2Ax%5E3%2Bhighlight_green%28+%28-3%2B8%29%2Ax+%29-2%2Ax%5E2%2B5\".
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Look at .
Added fractions or integers together
It becomes \"%28highlight_green%28+7+%29%29%2Ax%5E3%2B%28-3%2B8%29%2Ax-2%2Ax%5E2%2B5\".
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Look at \"%287%29%2Ax%5E3%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+8+%29%29%2Ax-2%2Ax%5E2%2B5\".
Added fractions or integers together
It becomes \"%287%29%2Ax%5E3%2B%28highlight_green%28+5+%29%29%2Ax-2%2Ax%5E2%2B5\".
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Look at \"highlight_red%28+%28highlight_red%28+7+%29%29%2Ax%5E3+%29%2B%285%29%2Ax-2%2Ax%5E2%2B5\".
Remove unneeded parentheses around factor \"highlight_red%28+7+%29\"
It becomes \"highlight_green%28+7+%29%2Ax%5E3%2B%285%29%2Ax-2%2Ax%5E2%2B5\".
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Look at \"7%2Ax%5E3%2Bhighlight_red%28+%28highlight_red%28+5+%29%29%2Ax+%29-2%2Ax%5E2%2B5\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\"
It becomes \"7%2Ax%5E3%2Bhighlight_green%28+5+%29%2Ax-2%2Ax%5E2%2B5\".
Result: \"7%2Ax%5E3%2B5%2Ax-2%2Ax%5E2%2B5\"
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Universal Simplifier and Solver

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Done!

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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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


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  • Graphical form: \"%287x%5E2-3x%2B1%29-%289x%5E2-7x-3%29\" simplifies to \"-2%2Ax%5E2%2B4%2Ax%2B4\"
  • Text form: (7x^2-3x+1)-(9x^2-7x-3) simplifies to -2*x^2+4*x+4
  • Cartoon (animation) form: \"simplify_cartoon%28+%287x%5E2-3x%2B1%29-%289x%5E2-7x-3%29+%29\"
    For tutors: simplify_cartoon( (7x^2-3x+1)-(9x^2-7x-3) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+%287%2Ax%5E2-3%2Ax%2B1%29+%29-%289%2Ax%5E2-7%2Ax-3%29\".
Remove unneeded parentheses around terms \"highlight_red%28+7%2Ax%5E2+%29\",\"highlight_red%28+-3%2Ax+%29\",\"highlight_red%28+1+%29\"
It becomes .
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Look at \"7%2Ax%5E2-3%2Ax%2B1-highlight_red%28+%289%2Ax%5E2-7%2Ax-3%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+-9%2Ax%5E2+%29\",\"highlight_red%28+7%2Ax+%29\",\"highlight_red%28+3+%29\"
It becomes .
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Look at \"7%2Ax%5E2-3%2Ax%2Bhighlight_red%28+1+%29-9%2Ax%5E2%2B7%2Ax%2Bhighlight_red%28+3+%29\".
Added fractions or integers together
It becomes \"7%2Ax%5E2-3%2Ax%2Bhighlight_green%28+4+%29-9%2Ax%5E2%2B7%2Ax\".
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Look at \"7%2Ax%5E2-3%2Ax%2Bhighlight_red%28+4+%29-9%2Ax%5E2%2B7%2Ax\".
Moved \"4\" to the right of expression
It becomes \"7%2Ax%5E2-3%2Ax-9%2Ax%5E2%2B7%2Ax%2Bhighlight_green%28+4+%29\".
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Look at \"highlight_red%28+7%2Ax%5E2+%29-3%2Ax-highlight_red%28+9%2Ax%5E2+%29%2B7%2Ax%2B4\".
Eliminated similar terms \"highlight_red%28+7%2Ax%5E2+%29\",\"highlight_red%28+-9%2Ax%5E2+%29\" replacing them with \"highlight_green%28+%287-9%29%2Ax%5E2+%29\"
It becomes \"highlight_green%28+%287-9%29%2Ax%5E2+%29-3%2Ax%2B7%2Ax%2B4\".
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Look at \"%287-9%29%2Ax%5E2-highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+7%2Ax+%29%2B4\".
Eliminated similar terms \"highlight_red%28+-3%2Ax+%29\",\"highlight_red%28+7%2Ax+%29\" replacing them with \"highlight_green%28+%28-3%2B7%29%2Ax+%29\"
It becomes \"%287-9%29%2Ax%5E2%2Bhighlight_green%28+%28-3%2B7%29%2Ax+%29%2B4\".
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Look at \"%28highlight_red%28+7+%29-highlight_red%28+9+%29%29%2Ax%5E2%2B%28-3%2B7%29%2Ax%2B4\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-2+%29%29%2Ax%5E2%2B%28-3%2B7%29%2Ax%2B4\".
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Look at \"%28-2%29%2Ax%5E2%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+7+%29%29%2Ax%2B4\".
Added fractions or integers together
It becomes \"%28-2%29%2Ax%5E2%2B%28highlight_green%28+4+%29%29%2Ax%2B4\".
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Look at \"%28highlight_red%28+-2+%29%29%2Ax%5E2%2B%284%29%2Ax%2B4\".
Removed extra sign in front of \"-2\"
It becomes \"%28-highlight_green%28+2+%29%29%2Ax%5E2%2B%284%29%2Ax%2B4\".
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Look at \"highlight_red%28+%28-highlight_red%28+2+%29%29%2Ax%5E2+%29%2B%284%29%2Ax%2B4\".
Remove unneeded parentheses around factor \"highlight_red%28+2+%29\"
It becomes \"-highlight_green%28+2+%29%2Ax%5E2%2B%284%29%2Ax%2B4\".
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Look at \"-2%2Ax%5E2%2Bhighlight_red%28+%28highlight_red%28+4+%29%29%2Ax+%29%2B4\".
Remove unneeded parentheses around factor \"highlight_red%28+4+%29\"
It becomes \"-2%2Ax%5E2%2Bhighlight_green%28+4+%29%2Ax%2B4\".
Result: \"-2%2Ax%5E2%2B4%2Ax%2B4\"
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Universal Simplifier and Solver

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Done!
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