Question

question
express as a trinomial.
$(x - 6)(3x - 9)$

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\(x \cdot 3x + x \cdot (-9) - 6 \cdot 3x - 6 \cdot (-9)\)

Step2: Simplify each product

Calculate each term:
\(3x^2 - 9x - 18x + 54\)

Step3: Combine like terms

Combine the middle terms:
\(3x^2 + (-9x - 18x) + 54 = 3x^2 - 27x + 54\)

Answer:

\(3x^2 - 27x + 54\)