document.write( "Question 6473: Good Afternoon! I am having a problem getting started with this problem. I have to solve by using the distributive property method to find the product.\r
\n" ); document.write( "\n" ); document.write( "(m^3 - 4mn^2) (6m^4n^2 - 3m^6 + m^2n^4) \n" ); document.write( "
Algebra.Com's Answer #3508 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: \"%28m%5E3-4m%2An%5E2%29%2A%286m%5E4%2An%5E2-3m%5E6%2Bm%5E2%2An%5E4%29\" simplifies to
  • Text form: (m^3-4m*n^2)*(6m^4*n^2-3m^6+m^2*n^4) simplifies to 18*m^(7)*n^2-m^(9)*3+m^(5)*n^4-24*m^(5)*n^(4)-4*m^(3)*n^(6)
  • Cartoon (animation) form: \"simplify_cartoon%28+%28m%5E3-4m%2An%5E2%29%2A%286m%5E4%2An%5E2-3m%5E6%2Bm%5E2%2An%5E4%29+%29\"
    For tutors: simplify_cartoon( (m^3-4m*n^2)*(6m^4*n^2-3m^6+m^2*n^4) )
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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 .
Expanded term \"%286%2Am%5E4%2An%5E2-3%2Am%5E6%2Bm%5E2%2An%5E4%29\" by using associative property on \"%28m%5E3-4%2Am%2An%5E2%29\"
It becomes .
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Look at .
Expanded term \"m%5E3\" by using associative property on \"%286%2Am%5E4%2An%5E2-3%2Am%5E6%2Bm%5E2%2An%5E4%29\"
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+m%5E3+%29\" to \"highlight_green%28+m%5E%283%2B4%29+%29\"
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+m%5E3+%29\" to \"highlight_green%28+m%5E%283%2B6%29+%29\"
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+m%5E3+%29\" to \"highlight_green%28+m%5E%283%2B2%29+%29\"
It becomes .
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Look at .
Added fractions or integers together
It becomes .
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Look at .
Added fractions or integers together
It becomes .
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Look at .
Added fractions or integers together
It becomes .
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Look at .
Expanded term \"-4%2Am%2An%5E2\" by using associative property on \"%286%2Am%5E4%2An%5E2-3%2Am%5E6%2Bm%5E2%2An%5E4%29\"
It becomes .
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Look at .
Multiplied numerator integers
It becomes .
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Look at .
Multiplied numerator integers
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+m+%29\" to \"highlight_green%28+m%5E%281%2B4%29+%29\"
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+n%5E2+%29\" to \"highlight_green%28+n%5E%282%2B2%29+%29\"
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+m+%29\" to \"highlight_green%28+m%5E%281%2B6%29+%29\"
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+m+%29\" to \"highlight_green%28+m%5E%281%2B2%29+%29\"
It becomes .
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Look at .
Reduce similar several occurrences of \"highlight_red%28+n%5E2+%29\" to \"highlight_green%28+n%5E%282%2B4%29+%29\"
It becomes .
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Look at .
Added fractions or integers together
It becomes .
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Look at .
Added fractions or integers together
It becomes .
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Look at .
Added fractions or integers together
It becomes .
\n" ); document.write( "
Look at .
Added fractions or integers together
It becomes .
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Look at .
Added fractions or integers together
It becomes .
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Look at .
Eliminated similar terms \"highlight_red%28+m%5E%287%29%2A6%2An%5E2+%29\",\"highlight_red%28+12%2Am%5E%287%29%2An%5E2+%29\" replacing them with \"highlight_green%28+%286%2B12%29%2Am%5E%287%29%2An%5E2+%29\"
It becomes .
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Look at .
Added fractions or integers together
It becomes .
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Look at .
Remove unneeded parentheses around factor \"highlight_red%28+18+%29\"
It becomes .
Result:
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Universal Simplifier and Solver

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Done!
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