Question

express as a trinomial.\\((3x + 8)(3x + 1)\\)

Explanation:

Step1: Apply distributive property (FOIL)

Multiply the First terms: \(3x \times 3x = 9x^2\)
Multiply the Outer terms: \(3x \times 1 = 3x\)
Multiply the Inner terms: \(8 \times 3x = 24x\)
Multiply the Last terms: \(8 \times 1 = 8\)

Step2: Combine like terms

Add the middle terms: \(3x + 24x = 27x\)
Combine all terms: \(9x^2 + 27x + 8\)

Answer:

\(9x^2 + 27x + 8\)