Question

multiply.
(4c - 5)(8c + 1)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4c \times 8c = 32c^2\)
Multiply the Outer terms: \(4c \times 1 = 4c\)
Multiply the Inner terms: \(-5 \times 8c = -40c\)
Multiply the Last terms: \(-5 \times 1 = -5\)

Step2: Combine like terms

Combine the \(c\)-terms: \(4c - 40c = -36c\)
Now, combine all terms: \(32c^2 - 36c - 5\)

Answer:

\(32c^2 - 36c - 5\)