Question

multiply.
(w + 4)(w - 3)
simplify your answer.

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
\( (w + 4)(w - 3) = w \cdot w + w \cdot (-3) + 4 \cdot w + 4 \cdot (-3) \)

Step2: Simplify each term

Calculate the products:
\( w^2 - 3w + 4w - 12 \)

Step3: Combine like terms

Combine the linear terms (\(-3w\) and \(4w\)):
\( w^2 + ( -3w + 4w ) - 12 = w^2 + w - 12 \)

Answer:

\( w^2 + w - 12 \)