Question

(3x - 9)(x - 6)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3x \times x = 3x^2\)
Multiply the Outer terms: \(3x \times (-6) = -18x\)
Multiply the Inner terms: \(-9 \times x = -9x\)
Multiply the Last terms: \(-9 \times (-6) = 54\)

Step2: Combine like terms

Combine the \(x\) terms: \(-18x - 9x = -27x\)
So the expanded form is \(3x^2 - 27x + 54\)

Answer:

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