Question

multiply.
(c - 5)(c + 5)
simplify your answer.

Explanation:

Step1: Apply difference of squares formula

The expression \((c - 5)(c + 5)\) is in the form of \((a - b)(a + b)\), where \(a = c\) and \(b = 5\). The difference of squares formula states that \((a - b)(a + b)=a^2 - b^2\).

Step2: Substitute \(a = c\) and \(b = 5\)

Substituting these values into the formula, we get \(c^2-5^2\).

Step3: Calculate \(5^2\)

\(5^2 = 25\), so the expression simplifies to \(c^2 - 25\).

Answer:

\(c^2 - 25\)