SOLUTION: 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. (m^3 - 4mn^2) (6m^4n^2 -

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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. (m^3 - 4mn^2) (6m^4n^2 -       Log On


   

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.
(m^3 - 4mn^2) (6m^4n^2 - 3m^6 + m^2n^4)
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • 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) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

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 .
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 .
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 .
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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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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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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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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Multiplied numerator integers
It becomes .
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Multiplied numerator integers
It becomes .
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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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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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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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Reduce similar several occurrences of highlight_red%28+m+%29 to highlight_green%28+m%5E%281%2B2%29+%29
It becomes .
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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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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Added fractions or integers together
It becomes .
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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Added fractions or integers together
It becomes .
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Remove unneeded parentheses around factor highlight_red%28+18+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!