Question

what is the product?
(6r - 1)(-8r - 3)
-48r² - 10r + 3
-48r² - 10r - 3
-48r² + 3
-48r² - 3

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(6r \times -8r = -48r^2\)
Multiply the Outer terms: \(6r \times -3 = -18r\)
Multiply the Inner terms: \(-1 \times -8r = 8r\)
Multiply the Last terms: \(-1 \times -3 = 3\)

Step2: Combine like terms

Combine the middle terms: \(-18r + 8r = -10r\)
Now, combine all terms: \(-48r^2 -10r + 3\)

Answer:

\(-48r^2 - 10r + 3\) (the first option)