Question

find the product. simplify your answer.
(2m + 4)(m + 3)
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Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(2m \times m = 2m^2\)
Multiply the Outer terms: \(2m \times 3 = 6m\)
Multiply the Inner terms: \(4 \times m = 4m\)
Multiply the Last terms: \(4 \times 3 = 12\)

Step2: Combine like terms

Add the middle terms (\(6m\) and \(4m\)): \(6m + 4m = 10m\)

Step3: Write the simplified expression

Combine all terms: \(2m^2 + 10m + 12\)

Answer:

\(2m^2 + 10m + 12\)