Question

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

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(4p \times p = 4p^2\)
Multiply the Outer terms: \(4p \times (-3) = -12p\)
Multiply the Inner terms: \(3 \times p = 3p\)
Multiply the Last terms: \(3 \times (-3) = -9\)

Step2: Combine like terms

Combine the \(p\)-terms: \(-12p + 3p = -9p\)
So the expression becomes \(4p^2 - 9p - 9\)

Answer:

\(4p^2 - 9p - 9\)