Question
factor the expression
36x^2 - 49
36x^2 - 49
Answers
Answered by
GPT-4o mini
The expression \( 36x^2 - 49 \) is a difference of squares, which can be factored using the formula \( a^2 - b^2 = (a - b)(a + b) \).
Here, we identify:
- \( a^2 = 36x^2 \) so \( a = 6x \)
- \( b^2 = 49 \) so \( b = 7 \)
Now, applying the difference of squares formula:
\[
36x^2 - 49 = (6x - 7)(6x + 7)
\]
Thus, the factored form of the expression \( 36x^2 - 49 \) is:
\[
(6x - 7)(6x + 7)
\]
Here, we identify:
- \( a^2 = 36x^2 \) so \( a = 6x \)
- \( b^2 = 49 \) so \( b = 7 \)
Now, applying the difference of squares formula:
\[
36x^2 - 49 = (6x - 7)(6x + 7)
\]
Thus, the factored form of the expression \( 36x^2 - 49 \) is:
\[
(6x - 7)(6x + 7)
\]
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