Answer
$a.\quad 2x^{3}-9x^{2}+10x-3$
$ b.\quad$Distribute the trinomial to each term of the binomial.
Then, distribute each term and combine like terms.
Work Step by Step
a.
$\begin{array}{lllllllll}
& 2x^{2} & -3x & +1 & & & & & \\
& & x & -3 & & & & & \\
-- & -- & -- & -- & & & & & \\
& -6x^{2} & +9x & -3 & \text{multiply by }-3 & & & & \\
2x^{3} & -3x^{2} & +x & & \text{multiply by } x & & & & \\
-- & -- & -- & -- & \text{add like terms } & & & & \\
2x^{3} & -9x^{2} & +10x & -3 & & & & &
\end{array}$
Answer: $2x^{3}-9x^{2}+10x-3$
b.
Distribute the trinomial to each term of the binomial.
Then, distribute each term and
combine like terms.
