Questions: Find the product. (p+5)(p-5) (p+5)(p-5)= (Simplify your answer.)

Transcript text: Find the product. \[ \begin{array}{l} (p+5)(p-5) \\ (p+5)(p-5)= \end{array} \] $\square$ (Simplify your answer.)

Solution

Solution Steps

To find the product of $(p+5)(p-5)$, we can use the difference of squares formula, which states that $(a+b)(a-b) = a^2 - b^2$. Here, $a = p$ and $b = 5$.

Step 1: Apply the Difference of Squares Formula

To find the product $(p+5)(p-5)$, we can use the difference of squares formula, which states: \[ (a+b)(a-b) = a^2 - b^2 \] In this case, let $a = p$ and $b = 5$. Thus, we have: \[ (p+5)(p-5) = p^2 - 5^2 \]

Step 2: Simplify the Expression

Next, we simplify the expression $5^2$: \[ 5^2 = 25 \] Therefore, the expression becomes: \[ p^2 - 25 \]