Factor completly:
64s^2 + 49 - 1125
To factor completely, we need to find the factors of the expression 64s^2 + 49 - 1125. Let's break it down step by step.
First, we can combine the constant terms, 49 and -1125, to simplify the expression:
64s^2 + 49 - 1125 = 64s^2 - 1076
Next, let's look for common factors. In this case, there are no common factors other than 1. So, we need to proceed with factoring the expression using a different method.
The expression 64s^2 - 1076 can be factored as a difference of squares. To factor a difference of squares, we look for the square root of each term. The square root of 64s^2 is 8s and the square root of 1076 is approximately 32.734.
Therefore, we can rewrite the expression as:
(8s - 32.734)(8s + 32.734)
So, the completely factored form of 64s^2 + 49 - 1125 is:
(8s - 32.734)(8s + 32.734)