Question

multiply.
(w - 6)(w + 3)
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \( w \times w = w^2 \)
Multiply the Outer terms: \( w \times 3 = 3w \)
Multiply the Inner terms: \( -6 \times w = -6w \)
Multiply the Last terms: \( -6 \times 3 = -18 \)
So we have \( w^2 + 3w - 6w - 18 \)

Step2: Combine like terms

Combine the \( 3w \) and \( -6w \) terms: \( 3w - 6w = -3w \)
So the expression becomes \( w^2 - 3w - 18 \)

Answer:

\( w^2 - 3w - 18 \)