Question

find the product. simplify your answer.
(2m + 1)(m + 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2m \times m = 2m^2\)
Multiply the Outer terms: \(2m \times 1 = 2m\)
Multiply the Inner terms: \(1 \times m = m\)
Multiply the Last terms: \(1 \times 1 = 1\)

Step2: Combine like terms

Add the middle terms: \(2m + m = 3m\)
So the expression becomes \(2m^2 + 3m + 1\)

Answer:

\(2m^2 + 3m + 1\)