Question
Factor completely.
x^2 - 64
x^2 - 64
Answers
GPT-4o mini
The expression \( x^2 - 64 \) is a difference of squares, which can be factored using the formula:
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, we can identify:
- \( a = x \)
- \( b = 8 \) (since \( 64 = 8^2 \))
Applying the difference of squares formula:
\[
x^2 - 64 = (x - 8)(x + 8)
\]
Thus, the completely factored form of \( x^2 - 64 \) is:
\[
(x - 8)(x + 8)
\]
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, we can identify:
- \( a = x \)
- \( b = 8 \) (since \( 64 = 8^2 \))
Applying the difference of squares formula:
\[
x^2 - 64 = (x - 8)(x + 8)
\]
Thus, the completely factored form of \( x^2 - 64 \) is:
\[
(x - 8)(x + 8)
\]