Question

find the product. simplify your answer.
(4h - 1)(2h + 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(4h \times 2h = 8h^2\)
Multiply the Outer terms: \(4h \times 1 = 4h\)
Multiply the Inner terms: \(-1 \times 2h = -2h\)
Multiply the Last terms: \(-1 \times 1 = -1\)
So we have \(8h^2 + 4h - 2h - 1\)

Step2: Combine like terms

Combine the \(4h\) and \(-2h\) terms: \(4h - 2h = 2h\)
This gives us \(8h^2 + 2h - 1\)

Answer:

\(8h^2 + 2h - 1\)