Remember the Distributive Property, which says that the multiplication of a single term and an addition/subtraction sequence can be simplified as follows:
[tex]a(b \pm c) = ab \pm ac[/tex]
Thus, in this case, we can apply the [tex]-6p^3[/tex] term to each term in the addition sequence [tex]3p^2 + 5p - 1[/tex], as follows:
[tex]-6p^3 (3p^2 + 5p - 1)[/tex]
[tex](-6p^3)(3p^2) + (-6p^3)(5p) - (-6p^3)(1)[/tex]
[tex]-18p^5 - 30p^4 + 6p^3[/tex]
The answer would be -18p⁵ - 30p⁴ + 6p³.
