document.write( "Question 6173: I am having trouble understanding how the answer was arived at on the following problem:\r
\n" ); document.write( "\n" ); document.write( "5X^2Y^2Z^3-X^2Y WHERE X=-2, Y=5, Z=-1\r
\n" ); document.write( "\n" ); document.write( "Here is my work
\n" ); document.write( "5*-2^2*5^2*-1^3--2^2*5
\n" ); document.write( "=500 - (-)20
\n" ); document.write( "=520\r
\n" ); document.write( "\n" ); document.write( "The answer from my test was -520. How is this negative?\r
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Algebra.Com's Answer #3285 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
Start with \"5X%5E2%2AY%5E2%2AZ%5E3-X%5E2%2AY\"\r
\n" ); document.write( "\n" ); document.write( "them REPLACE X with -2, Y with 5, Z with -1:\r
\n" ); document.write( "\n" ); document.write( "\"+5%2A%28-2%29%5E2%2A5%5E2%2A%28-1%29%5E3+-+%28-2%29%5E2%2A5\"\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • Graphical form: \"5%2A%28-2%29%5E2%2A5%5E2%2A%28-1%29%5E3-%28-2%29%5E2%2A5\" simplifies to \"-520\"
  • Text form: 5*(-2)^2*5^2*(-1)^3-(-2)^2*5 simplifies to -520
  • Cartoon (animation) form: \"simplify_cartoon%28+5%2A%28-2%29%5E2%2A5%5E2%2A%28-1%29%5E3-%28-2%29%5E2%2A5+%29\"
    For tutors: simplify_cartoon( 5*(-2)^2*5^2*(-1)^3-(-2)^2*5 )
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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 .
Replace constants in factor: \"highlight_red%28+%28-2%29+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+4+%29\"
It becomes \"5%2Ahighlight_green%28+4+%29%2A5%5E2%2A%28-1%29%5E3-%28-2%29%5E2%2A5\".
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Look at \"5%2A4%2Ahighlight_red%28+5+%29%5Ehighlight_red%28+2+%29%2A%28-1%29%5E3-%28-2%29%5E2%2A5\".
Replace constants in factor: \"highlight_red%28+5+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+25+%29\"
It becomes \"5%2A4%2Ahighlight_green%28+25+%29%2A%28-1%29%5E3-%28-2%29%5E2%2A5\".
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Look at \"5%2A4%2A25%2Ahighlight_red%28+%28-1%29+%29%5Ehighlight_red%28+3+%29-%28-2%29%5E2%2A5\".
Replace constants in factor: \"highlight_red%28+%28-1%29+%29\",\"highlight_red%28+3+%29\" with \"highlight_green%28+-1+%29\"
It becomes \"5%2A4%2A25%2Ahighlight_green%28+-1+%29-%28-2%29%5E2%2A5\".
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Look at \"5%2A4%2A25%2A-1-highlight_red%28+%28-2%29+%29%5Ehighlight_red%28+2+%29%2A5\".
Replace constants in factor: \"highlight_red%28+%28-2%29+%29\",\"highlight_red%28+2+%29\" with \"highlight_green%28+4+%29\"
It becomes \"5%2A4%2A25%2A-1-highlight_green%28+4+%29%2A5\".
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Look at \"highlight_red%28+5%2A4%2A25%2A-1+%29-highlight_red%28+4%2A5+%29\".
Replace constants in expression: \"highlight_red%28+5%2A4%2A25%2A-1+%29\",\"highlight_red%28+-4%2A5+%29\" with \"highlight_green%28+-520+%29\"
It becomes \"highlight_green%28+-520+%29\".
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Look at \"highlight_red%28+-520+%29\".
Removed extra sign in front of \"-520\"
It becomes \"-highlight_green%28+520+%29\".
Result: \"-520\"
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Universal Simplifier and Solver

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Done!
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