Question

multiply.
(3c - 1)(4c + 3)

(3c - 1)(4c + 3) = \square
(simplify your answer.)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3c \times 4c = 12c^2\)
Multiply the Outer terms: \(3c \times 3 = 9c\)
Multiply the Inner terms: \(-1 \times 4c = -4c\)
Multiply the Last terms: \(-1 \times 3 = -3\)

Step2: Combine like terms

\(12c^2 + 9c - 4c - 3 = 12c^2 + (9c - 4c) - 3 = 12c^2 + 5c - 3\)

Answer:

\(12c^2 + 5c - 3\)