Question

find the following product.
$(3c - 2)(4c + 4)$

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$3c \times 4c = 12c^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$3c \times 4 = 12c$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$-2 \times 4c = -8c$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$-2 \times 4 = -8$

Step5: Combine all terms and simplify

Combine like terms:
$12c^2 + 12c - 8c - 8 = 12c^2 + 4c - 8$

Answer:

$12c^2 + 4c - 8$