Question
Factor completely.
25 -- 36x^2
25 -- 36x^2
Answers
GPT-4o mini
The expression \( 25 - 36x^2 \) is a difference of squares, which can be factored using the formula \( a^2 - b^2 = (a - b)(a + b) \).
Here, we can identify \( a = 5 \) (since \( 25 = 5^2 \)) and \( b = 6x \) (since \( 36x^2 = (6x)^2 \)).
Now, we can apply the difference of squares formula:
\[
25 - 36x^2 = (5 - 6x)(5 + 6x)
\]
Thus, the completely factored form of the expression \( 25 - 36x^2 \) is:
\[
(5 - 6x)(5 + 6x)
\]
Here, we can identify \( a = 5 \) (since \( 25 = 5^2 \)) and \( b = 6x \) (since \( 36x^2 = (6x)^2 \)).
Now, we can apply the difference of squares formula:
\[
25 - 36x^2 = (5 - 6x)(5 + 6x)
\]
Thus, the completely factored form of the expression \( 25 - 36x^2 \) is:
\[
(5 - 6x)(5 + 6x)
\]