Question

express as a trinomial.
(3x + 3)(2x + 8)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times 2x = 6x^2\)
Multiply the Outer terms: \(3x \times 8 = 24x\)
Multiply the Inner terms: \(3 \times 2x = 6x\)
Multiply the Last terms: \(3 \times 8 = 24\)
So, \((3x + 3)(2x + 8)=6x^2 + 24x + 6x + 24\)

Step2: Combine like terms

Combine the \(x\)-terms: \(24x + 6x = 30x\)
So, the expression becomes \(6x^2 + 30x + 24\)

Answer:

\(6x^2 + 30x + 24\)