Question

find the product. simplify your answer.
(r - 3)(4r - 1)

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply each term in the first binomial by each term in the second binomial:
\( (r - 3)(4r - 1) = r \times 4r + r \times (-1) - 3 \times 4r - 3 \times (-1) \)

Step2: Simplify each term

Simplify the products:
\( 4r^2 - r - 12r + 3 \)

Step3: Combine like terms

Combine the \( r \)-terms:
\( 4r^2 - 13r + 3 \)

Answer:

\( 4r^2 - 13r + 3 \)