Question

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

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$(y - 7)(y + 4) = y \cdot y + y \cdot 4 - 7 \cdot y - 7 \cdot 4$

Step2: Simplify each term

Simplify the products:
$y^2 + 4y - 7y - 28$

Step3: Combine like terms

Combine the $y$-terms:
$y^2 - 3y - 28$

Answer:

$y^2 - 3y - 28$