Question

Choose the correct product -6p^3(3p^2+5p-1)

Answer 1

-8244.58939707

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Explanation:

Answer 2

Remember the Distributive Property, which says that the multiplication of a single term and an addition/subtraction sequence can be simplified as follows:

`a(b \pm c) = ab \pm ac`

Thus, in this case, we can apply the
`-6p^3` term to each term in the addition sequence
`3p^2 + 5p - 1`, as follows:

`-6p^3 (3p^2 + 5p - 1)`

• Set up

`(-6p^3)(3p^2) + (-6p^3)(5p) - (-6p^3)(1)`

• Apply the Distributive Property

`-18p^5 - 30p^4 + 6p^3`

• Simplify

The answer would be -18p⁵ - 30p⁴ + 6p³.