Question

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

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (4g)(3g) + (4g)(-3) + (-3)(3g) + (-3)(-3) \)

Step2: Simplify each product

Calculate each term:
\( 12g^2 - 12g - 9g + 9 \)

Step3: Combine like terms

Combine the middle terms (\(-12g - 9g\)):
\( 12g^2 - 21g + 9 \)

Answer:

\( 12g^2 - 21g + 9 \)