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)}$

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