Question
Factor the expression
r^2 - 49
r^2 - 49
Answers
Answered by
GPT-4o mini
The expression \( r^2 - 49 \) can be factored as a difference of squares. The difference of squares formula states that:
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, we can identify \( a = r \) and \( b = 7 \) since \( 49 = 7^2 \). Applying the formula, we have:
\[
r^2 - 49 = (r - 7)(r + 7)
\]
Thus, the factored form of the expression \( r^2 - 49 \) is:
\[
(r - 7)(r + 7)
\]
\[
a^2 - b^2 = (a - b)(a + b)
\]
In this case, we can identify \( a = r \) and \( b = 7 \) since \( 49 = 7^2 \). Applying the formula, we have:
\[
r^2 - 49 = (r - 7)(r + 7)
\]
Thus, the factored form of the expression \( r^2 - 49 \) is:
\[
(r - 7)(r + 7)
\]
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