Question

multiply.
(y - 7z)(4y - z)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \( y \times 4y = 4y^2 \)
Multiply the Outer terms: \( y \times (-z) = -yz \)
Multiply the Inner terms: \( -7z \times 4y = -28yz \)
Multiply the Last terms: \( -7z \times (-z) = 7z^2 \)

Step2: Combine like terms

Combine the \( -yz \) and \( -28yz \) terms: \( -yz - 28yz = -29yz \)
Now, put all the terms together: \( 4y^2 - 29yz + 7z^2 \)

Answer:

\( 4y^2 - 29yz + 7z^2 \)