Question

question
express as a trinomial.
(2x - 4)(3x + 5)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(2x \times 3x = 6x^2\)
Multiply the Outer terms: \(2x \times 5 = 10x\)
Multiply the Inner terms: \(-4 \times 3x = -12x\)
Multiply the Last terms: \(-4 \times 5 = -20\)

Step2: Combine like terms

Combine the \(x\)-terms: \(10x - 12x = -2x\)
Now, combine all terms: \(6x^2 - 2x - 20\)

Answer:

\(6x^2 - 2x - 20\)