To solve the equation 12x^2 - 75 = 3(2x + ?)(2x - 5), you can find the factors of 4x^2 - 25 using the difference of squares formula.
Step-by-step explanation:
To solve the equation 12x^2 - 75 = 3(2x + ?)(2x - 5), we can start by dividing both sides of the equation by 3 to simplify it:
4x^2 - 25 = (2x + ?)(2x - 5)
We can then find the factors of 4x^2 - 25 by using the difference of squares formula:
(2x + ?)(2x - 5) = (2x + ?)(√(4x^2) - √25)
Applying the difference of squares formula, we get:
(2x + ?)(2x - 5) = (2x + ?)(2x - 5)
This equation cannot be further simplified, so we have found the factors of 4x^2 - 25.
The probable question can be: How to solve the given equation 12x^2 -75=3(2x+?) (2x-5)