Question

find the product. simplify your answer.
(2s + 2)(4s - 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2s \times 4s = 8s^2\)
Multiply the Outer terms: \(2s \times (-1) = -2s\)
Multiply the Inner terms: \(2 \times 4s = 8s\)
Multiply the Last terms: \(2 \times (-1) = -2\)
So, \((2s + 2)(4s - 1)=8s^2 - 2s + 8s - 2\)

Step2: Combine like terms

Combine the \(s\)-terms: \(-2s + 8s = 6s\)
So, the simplified expression is \(8s^2 + 6s - 2\)

Answer:

\(8s^2 + 6s - 2\)