Question

what is the product?
(5r+2)(3r−4)
15r²+8
15r²−8
15r²+14r−8
15r²−14r−8

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(5r \times 3r = 15r^2\)
Multiply the Outer terms: \(5r \times (-4) = -20r\)
Multiply the Inner terms: \(2 \times 3r = 6r\)
Multiply the Last terms: \(2 \times (-4) = -8\)

Step2: Combine like terms

Combine the middle terms: \(-20r + 6r = -14r\)
Now, combine all terms: \(15r^2 - 14r - 8\)

Answer:

\(15r^2 - 14r - 8\) (the fourth option: \(15r^2 - 14r - 8\))