Question

find the product. simplify your answer.
(2u + 4)(3u - 1)

Explanation:

Step1: Apply FOIL method (First terms)

Multiply first terms of each binomial:
$2u \times 3u = 6u^2$

Step2: Apply FOIL method (Outer terms)

Multiply outer terms of the binomials:
$2u \times (-1) = -2u$

Step3: Apply FOIL method (Inner terms)

Multiply inner terms of the binomials:
$4 \times 3u = 12u$

Step4: Apply FOIL method (Last terms)

Multiply last terms of each binomial:
$4 \times (-1) = -4$

Step5: Combine all terms

Combine the results from Steps 1-4:
$6u^2 - 2u + 12u - 4$

Step6: Combine like terms

Simplify by combining the linear terms:
$6u^2 + (-2u + 12u) - 4 = 6u^2 + 10u - 4$

Answer:

$6u^2 + 10u - 4$