Find the product. Collect all like terms. q(-q+9)

1. Distribute q: Multiply q by each term inside the parentheses. This is done using the distributive property, which states that $a(b+c) = ab + ac$. In this case, $a=q$, $b=-q$, and $c=9$.
$$q(-q + 9) = q \times (-q) + q \times 9$$

2. Perform the multiplication: Carry out the multiplication for each term.
$$q \times (-q) = -q^2$$
$$q \times 9 = 9q$$

3. Combine the terms: Write out the result of the distribution.
$$-q^2 + 9q$$

1. Collect like terms: In this expression, there are no like terms to combine. The terms $-q^2$ and $9q$ have different variables raised to different powers, so they cannot be added or subtracted.

The expression is already simplified.