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

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

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Solution Steps

Step 1: Identify the difference of squares

The expression c225 c^{2} - 25 is a difference of squares because it can be written as c252 c^{2} - 5^{2} .

Step 2: Apply the difference of squares formula

The difference of squares formula is a2b2=(a+b)(ab) a^{2} - b^{2} = (a + b)(a - b) . Here, a=c a = c and b=5 b = 5 .

Step 3: Substitute and factor

Substitute a a and b b into the formula: c225=(c+5)(c5) c^{2} - 25 = (c + 5)(c - 5)

Final Answer

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

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