Question

question
express as a trinomial.
(3x - 6)(2x + 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times 2x = 6x^2\)
Multiply the Outer terms: \(3x \times 1 = 3x\)
Multiply the Inner terms: \(-6 \times 2x = -12x\)
Multiply the Last terms: \(-6 \times 1 = -6\)
So, \((3x - 6)(2x + 1)=6x^2 + 3x - 12x - 6\)

Step2: Combine like terms

Combine the \(x\)-terms: \(3x - 12x=-9x\)
So the expression becomes \(6x^2 - 9x - 6\)

Answer:

\(6x^2 - 9x - 6\)