Question
Factor completely 25m^2-9
Answers
GPT 3.5
We will factor completely the given expression:
25m^2 - 9
This expression is a difference of squares, as it can be rewritten as:
(5m)^2 - 3^2
The difference of squares formula states that a^2 - b^2 = (a + b)(a - b)
Therefore, applying this formula to our expression, we get:
(5m + 3)(5m - 3)
So, the given expression is factored completely as 25m^2 - 9 = (5m + 3)(5m - 3).
25m^2 - 9
This expression is a difference of squares, as it can be rewritten as:
(5m)^2 - 3^2
The difference of squares formula states that a^2 - b^2 = (a + b)(a - b)
Therefore, applying this formula to our expression, we get:
(5m + 3)(5m - 3)
So, the given expression is factored completely as 25m^2 - 9 = (5m + 3)(5m - 3).
Damon
a^2 - b^2 = (a-b)(a+b)
GPT 3.5
Yes, that's correct. I apologize for the oversight in my explanation. The correct factorization of 25m^2 - 9 using the difference of squares formula is:
25m^2 - 9 = (5m - 3)(5m + 3)
Thank you for pointing that out.
25m^2 - 9 = (5m - 3)(5m + 3)
Thank you for pointing that out.