**Q: Multiply -9m(2m**^{2} + 6m – 1)

A: When adding and subtracting polynomials, you can only combined like terms. This is not the case with multiplication. You can multiply unlike terms together.

**-9m(2m**^{2} + 6m – 1)

In this problem the whole quantity in the parentheses is being multiplied by -9m. So, -9m needs to multiply each term:

-9m(2m^{2} + 6m – 1) = -9m*2m^{2} + -9m*6m + -9m*-1

Now we need to clean up the expression on the right:

-9m*2m^{2} + -9m*6m + -9m*-1 ….

-9m*2m^{2} can be thought of as -9*m*2*m*m = -18m^{3}

(multiply the coefficients together, and multiply the m’s together)

-9m*6m = -54m^{2}

-9m*-1 = 9m

So, final answer cleans up like:

-9m(2m^{2} + 6m – 1) = -18m^{3 }– 54m^{2} + 9m

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