Question

find the product. simplify your answer.
(3k + 3)(2k + 2)

Explanation:

Step1: Apply FOIL method

$(3k)(2k) + (3k)(2) + (3)(2k) + (3)(2)$

Step2: Calculate each term

$6k^2 + 6k + 6k + 6$

Step3: Combine like terms

$6k^2 + (6k+6k) + 6 = 6k^2 + 12k + 6$

Step4: Factor (optional simplification)

$6(k^2 + 2k + 1) = 6(k+1)^2$

Answer:

$6k^2 + 12k + 6$ (or factored form $6(k+1)^2$)