### Instruction: Expand $(q-5)(3r+6)$.### Response: To expand a product of two binomials, I can use the distributive property.
I can write $(q-5)(3r+6)$ as $q(3r+6) - 5(3r+6)$.
Then, I can distribute the $q$ and the $-5$ to each term inside the parentheses.
That gives me $q(3r) + q(6) - 5(3r) - 5(6)$.
Now, I can simplify the terms by multiplying the coefficients.
[* kind of obvious] That gives me $3qr + 6q - 15r - 30$.
This is the expanded form of the product.