Question

multiply.
$(v + 7)(v - 3)$
simplify your answer.

Explanation:

Step1: Apply the distributive property (FOIL method)

Multiply the First terms: \(v \times v = v^2\)
Multiply the Outer terms: \(v \times (-3) = -3v\)
Multiply the Inner terms: \(7 \times v = 7v\)
Multiply the Last terms: \(7 \times (-3) = -21\)

Step2: Combine like terms

\(v^2 - 3v + 7v - 21 = v^2 + 4v - 21\)

Answer:

\(v^2 + 4v - 21\)