Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

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

Question

question
express as a trinomial.
(2x + 3)(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: \(3 \times 3x = 9x\)
Multiply the Last terms: \(3 \times 5 = 15\)

Step2: Combine like terms

Combine the \(x\) terms: \(10x + 9x = 19x\)
Now, put all the terms together: \(6x^2 + 19x + 15\)

Answer:

\(6x^2 + 19x + 15\)