document.write( "Question 7233: Hi, I am not sure where to start with this problem. Simplify 5x^2y-2x^2y(2+y)+8x^2y^2...... Thanks so much for any help... I'm just not sure where to start.... the part with the parentheses throws me off....\r
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Algebra.Com's Answer #4012 by ichudov(507)\"\" \"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: \"5x%5E2y-2x%5E2y%2A%282%2By%29%2B8x%5E2y%5E2\" simplifies to \"x%5E2%2Ay%2B6%2Ax%5E2%2Ay%5E2\"
  • Text form: 5x^2y-2x^2y*(2+y)+8x^2y^2 simplifies to x^2*y+6*x^2*y^2
  • Cartoon (animation) form: \"simplify_cartoon%28+5x%5E2y-2x%5E2y%2A%282%2By%29%2B8x%5E2y%5E2+%29\"
    For tutors: simplify_cartoon( 5x^2y-2x^2y*(2+y)+8x^2y^2 )
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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 \"5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ay%2A%28highlight_red%28+2+%29%2By%29%2B8%2Ax%5E2%2Ay%5E2\".
Moved \"2\" to the right of expression
It becomes \"5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ay%2A%28y%2Bhighlight_green%28+2+%29%29%2B8%2Ax%5E2%2Ay%5E2\".
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Look at \"5%2Ax%5E2%2Ay-highlight_red%28+2%2Ax%5E2%2Ay%2A%28y%2B2%29+%29%2B8%2Ax%5E2%2Ay%5E2\".
Expanded term \"-2%2Ax%5E2%2Ay\" by using associative property on \"%28y%2B2%29\"
It becomes .
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Look at .
Multiplied numerator integers
It becomes \"5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ay%2Ay-highlight_green%28+4+%29%2Ax%5E2%2Ay%2B8%2Ax%5E2%2Ay%5E2\".
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Look at .
Reduce similar several occurrences of \"highlight_red%28+y+%29\" to \"highlight_green%28+y%5E2+%29\"
It becomes \"5%2Ax%5E2%2Ay-2%2Ax%5E2%2Ahighlight_green%28+y%5E2+%29-4%2Ax%5E2%2Ay%2B8%2Ax%5E2%2Ay%5E2\".
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Look at .
Eliminated similar terms \"highlight_red%28+5%2Ax%5E2%2Ay+%29\",\"highlight_red%28+-4%2Ax%5E2%2Ay+%29\" replacing them with \"highlight_green%28+%285-4%29%2Ax%5E2%2Ay+%29\"
It becomes \"highlight_green%28+%285-4%29%2Ax%5E2%2Ay+%29-2%2Ax%5E2%2Ay%5E2%2B8%2Ax%5E2%2Ay%5E2\".
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Look at .
Eliminated similar terms \"highlight_red%28+-2%2Ax%5E2%2Ay%5E2+%29\",\"highlight_red%28+8%2Ax%5E2%2Ay%5E2+%29\" replacing them with \"highlight_green%28+%28-2%2B8%29%2Ax%5E2%2Ay%5E2+%29\"
It becomes \"%285-4%29%2Ax%5E2%2Ay%2Bhighlight_green%28+%28-2%2B8%29%2Ax%5E2%2Ay%5E2+%29\".
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Look at \"highlight_red%28+%285-4%29+%29%2Ax%5E2%2Ay%2B%28-2%2B8%29%2Ax%5E2%2Ay%5E2\".
Remove extraneous '1' from product \"highlight_red%28+%285-4%29+%29\"
It becomes \"x%5E2%2Ay%2B%28-2%2B8%29%2Ax%5E2%2Ay%5E2\".
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Look at \"x%5E2%2Ay%2B%28-highlight_red%28+2+%29%2Bhighlight_red%28+8+%29%29%2Ax%5E2%2Ay%5E2\".
Added fractions or integers together
It becomes \"x%5E2%2Ay%2B%28highlight_green%28+6+%29%29%2Ax%5E2%2Ay%5E2\".
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Look at \"x%5E2%2Ay%2Bhighlight_red%28+%28highlight_red%28+6+%29%29%2Ax%5E2%2Ay%5E2+%29\".
Remove unneeded parentheses around factor \"highlight_red%28+6+%29\"
It becomes \"x%5E2%2Ay%2Bhighlight_green%28+6+%29%2Ax%5E2%2Ay%5E2\".
Result: \"x%5E2%2Ay%2B6%2Ax%5E2%2Ay%5E2\"
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Universal Simplifier and Solver

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Done!
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