Question

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

Explanation:

Step1: Apply distributive property (FOIL)

$(c-1)(3c-3) = c(3c) + c(-3) -1(3c) -1(-3)$

Step2: Calculate each term

$= 3c^2 - 3c - 3c + 3$

Step3: Combine like terms

$= 3c^2 - 6c + 3$

Step4: Factor out common coefficient

$= 3(c^2 - 2c + 1) = 3(c-1)^2$

Answer:

$3c^2 - 6c + 3$ or $3(c-1)^2$