Question

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

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (4u)(u) + (4u)(-4) + (-1)(u) + (-1)(-4) \)

Step2: Simplify each term

Calculate each product:
\( 4u^2 - 16u - u + 4 \)

Step3: Combine like terms

Combine the \( u \)-terms:
\( 4u^2 - 17u + 4 \)

Answer:

\( 4u^2 - 17u + 4 \)