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Mn – 11 mn + 3 What is the difference of the polynomials?

User Carey
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1 Answer

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Final answer:

The difference of the two polynomials mn - 11mn and 3 is -10mn - 3. You subtract 3 from mn - 11mn, combine like terms, and get -10mn - 3.

Step-by-step explanation:

The student is asking about the difference of two polynomials: mn - 11mn and 3. To find this difference, you combine like terms. Since there are no like terms with 3, the calculation simplifies to subtracting 3 from mn - 11mn. Since mn and 11mn have the same variable part, we can subtract their coefficients. This leaves us with -10mn - 3, which is the difference of the two polynomials.

The process involves subtracting the corresponding elements of each polynomial. For example, if you consider another problem such as subtracting 8m + 2m + 3m from 9m, the result will be 9m - (8m + 2m + 3m) = 9m - 13m = -4m, following a similar process of combining like terms.

User Victor Van Hee
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