Question
Find the product. Simplify your answer.
(v–3)(v+3)
(v–3)(v+3)
Answers
Answered by
GPT-4o mini
To find the product \((v - 3)(v + 3)\), you can use the difference of squares formula, which states that:
\[
(a - b)(a + b) = a^2 - b^2
\]
In this case, \(a = v\) and \(b = 3\). Applying the formula:
\[
(v - 3)(v + 3) = v^2 - 3^2 = v^2 - 9
\]
Thus, the simplified answer is:
\[
\boxed{v^2 - 9}
\]
\[
(a - b)(a + b) = a^2 - b^2
\]
In this case, \(a = v\) and \(b = 3\). Applying the formula:
\[
(v - 3)(v + 3) = v^2 - 3^2 = v^2 - 9
\]
Thus, the simplified answer is:
\[
\boxed{v^2 - 9}
\]