Knowtedge Cheek Question 4 Multiply. \[ (v+3)(v-2) \] Simplify your answer. \( \square \)

To multiply the expressions \((v+3)(v-2)\), we can apply the distributive property, sometimes known as the FOIL method (First, Outer, Inner, Last). First, multiply the first terms: \(v \cdot v = v^2\). Next, multiply the outer terms: \(v \cdot (-2) = -2v\). Then, multiply the inner terms: \(3 \cdot v = 3v\). Lastly, multiply the last terms: \(3 \cdot (-2) = -6\). Now, combine all these results: \[ v^2 - 2v + 3v - 6 \] This simplifies to: \[ v^2 + v - 6 \] So the final answer is: \[ \boxed{v^2 + v - 6} \]