Question

use the foil method to find the product.
(7z - u)(4z + 3u)
(7z - u)(4z + 3u) = \square (simplify your answer.)

Explanation:

Step1: Apply FOIL (First, Outer, Inner, Last)

First: \(7z \times 4z = 28z^2\)
Outer: \(7z \times 3u = 21zu\)
Inner: \(-u \times 4z = -4zu\)
Last: \(-u \times 3u = -3u^2\)

Step2: Combine like terms

Combine the outer and inner terms: \(21zu - 4zu = 17zu\)

Step3: Write the final expression

Combine all terms: \(28z^2 + 17zu - 3u^2\)

Answer:

\(28z^2 + 17zu - 3u^2\)