Question

multiply.
(4b - 3)(7b + 1)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4b \times 7b = 28b^2\)
Multiply the Outer terms: \(4b \times 1 = 4b\)
Multiply the Inner terms: \(-3 \times 7b = -21b\)
Multiply the Last terms: \(-3 \times 1 = -3\)

Step2: Combine like terms

Combine the \(b\) terms: \(4b - 21b = -17b\)
So the expression becomes \(28b^2 - 17b - 3\)

Answer:

\(28b^2 - 17b - 3\)