Final answer:
The product of the binomials (6r-1) and (-Br-3) is found by multiplying each term in the first by each term in the second, resulting in -6Br² - 18r + Br + 3. There are no like terms to combine in the final expression.
Step-by-step explanation:
The product of the expression (6r-1)(-Br-3) is found by using the distributive property, or the FOIL method (First, Outer, Inner, Last). We multiply each term in the first parenthesis by each term in the second parenthesis.
First, we multiply the first terms: 6r * (-Br) = -6Br².
Next, we multiply the outer terms: 6r * (-3) = -18r.
Then, we multiply the inner terms: -1 * (-Br) = Br.
Finally, we multiply the last terms: -1 * (-3) = 3.
Combining all these, we get the final product:
-6Br² - 18r + Br + 3
Usually, we would combine like terms, but in this case, there are no like terms to combine. Thus, the product is:
-6Br² - 18r + Br + 3