Question

multiply binomials
this is the only question in this section
question
express as a trinomial.
(2x + 3)(3x - 5)
answer attempt 1 out of 10

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: \(3 \times 3x = 9x\)
Multiply the Last terms: \(3 \times (-5) = -15\)

Step2: Combine like terms

Combine the \(x\) terms: \(-10x + 9x = -x\)
Now, combine all the terms: \(6x^2 - x - 15\)

Answer:

\(6x^2 - x - 15\)