Question

find the product. simplify your answer.
(3g - 3)(2g - 4)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(3g \times 2g = 6g^2\)
Multiply the Outer terms: \(3g \times (-4) = -12g\)
Multiply the Inner terms: \(-3 \times 2g = -6g\)
Multiply the Last terms: \(-3 \times (-4) = 12\)

Step2: Combine like terms

Combine the \(g\) terms: \(-12g - 6g = -18g\)
Now, put all the terms together: \(6g^2 - 18g + 12\)
We can also factor out a common factor of 6: \(6(g^2 - 3g + 2)\) (but the simplified polynomial form is \(6g^2 - 18g + 12\))

Answer:

\(6g^2 - 18g + 12\) (or \(6(g^2 - 3g + 2)\))