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find the product. simplify your answer. (3h - 3)(4h + 1)

Question

find the product. simplify your answer.
(3h - 3)(4h + 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3h \times 4h = 12h^2\)
Multiply the Outer terms: \(3h \times 1 = 3h\)
Multiply the Inner terms: \(-3 \times 4h = -12h\)
Multiply the Last terms: \(-3 \times 1 = -3\)

Step2: Combine like terms

Combine the middle terms (\(3h - 12h\)):
\(12h^2 + 3h - 12h - 3 = 12h^2 - 9h - 3\)

Answer:

\(12h^2 - 9h - 3\)