Question

find the product. simplify your answer.
(4s - 3)(s + 4)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4s \times s = 4s^2\)
Multiply the Outer terms: \(4s \times 4 = 16s\)
Multiply the Inner terms: \(-3 \times s = -3s\)
Multiply the Last terms: \(-3 \times 4 = -12\)
So we have \(4s^2 + 16s - 3s - 12\)

Step2: Combine like terms

Combine the \(s\)-terms: \(16s - 3s = 13s\)
So the simplified expression is \(4s^2 + 13s - 12\)

Answer:

\(4s^2 + 13s - 12\)