Question

(x - 3)(6x - 2)\
options: $6x^2 - 20x + 6$, $6x^2 + 6$, $6x^2 + 20x - 6$, $6x + 6$

Explanation:

Step1: Apply distributive property (FOIL)

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

Step2: Combine like terms

Combine the \(x\)-terms: \(-2x - 18x = -20x\)
So the expanded form is \(6x^2 - 20x + 6\)

Answer:

\(6x^2 - 20x + 6\) (corresponding to the first option: \(6x^2 - 20x + 6\))