Questions: Factor the difference of squares completely. c^2-25

Transcript text: Factor the difference of squares completely. \[ c^{2}-25 \]

Solution

Step 1: Identify the difference of squares

The expression \( c^{2} - 25 \) is a difference of squares because it can be written as \( c^{2} - 5^{2} \).

Step 2: Apply the difference of squares formula

The difference of squares formula is \( a^{2} - b^{2} = (a + b)(a - b) \). Here, \( a = c \) and \( b = 5 \).

Step 3: Substitute and factor

Substitute \( a \) and \( b \) into the formula: \[ c^{2} - 25 = (c + 5)(c - 5) \]

\(\boxed{(c + 5)(c - 5### Final Answer \(\boxed{(c + 5)(c - 5)}\)

Was this solution helpful?

Unhelpful

Helpful

Next >