Question

multiply:
$(y + 8)(y - 4)$
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \( y \times y = y^2 \)
Multiply the Outer terms: \( y \times (-4) = -4y \)
Multiply the Inner terms: \( 8 \times y = 8y \)
Multiply the Last terms: \( 8 \times (-4) = -32 \)
So we have \( y^2 - 4y + 8y - 32 \)

Step2: Combine like terms

\( -4y + 8y = 4y \), so the expression becomes \( y^2 + 4y - 32 \)

Answer:

\( y^2 + 4y - 32 \)