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Subtract the polynomials and simplify.(-6m2 - 7m + 8) - (2m2 - 5m - 9)Select one:a. -8m2 - 2m + 17b. -8m2 - 7m2 + 5m + 17c. -4m2 - 12m - 1d. -8m2 - 12m - 1

Question

Subtract the polynomials and simplify.(-6m2 - 7m + 8) - (2m2 - 5m - 9)Select one:a. -8m2 - 2m + 17b. -8m2 - 7m2 + 5m + 17c. -4m2 - 12m - 1d. -8m2 - 12m - 1

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Solution

To subtract polynomials, you subtract the like terms from each polynomial.

The like terms are terms with the same variable and exponent.

Here are the steps:

  1. Distribute the negative sign to each term in the second polynomial: -(2m^2) - (-5m) - (-9) becomes -2m^2 + 5m + 9.

  2. Now, subtract the like terms:

    -6m^2 - (-2m^2) = -6m^2 + 2m^2 = -4m^2

    -7m - 5m = -12m

    8 - 9 = -1

So, the simplified form of the given polynomials is -4m^2 - 12m - 1.

Therefore, the correct answer is c. -4m^2 - 12m - 1.

This problem has been solved

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(−6x−2)+(6x 2 −5x−10)

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