I need a quick review. How to factor the following equation:
9x squared - 25
(a^2-b^2)=(a-b)(a+b)
a=3x, b=5
To factor the equation 9x^2 - 25, we can use a special factoring formula called the difference of squares. This formula is represented as follows:
a^2 - b^2 = (a + b)(a - b)
In our case, we have 9x^2 - 25, which can be rewritten as (3x)^2 - 5^2. Now, we can see that 'a' in our formula is 3x, and 'b' is 5. Therefore, we can factor the equation as follows:
9x^2 - 25 = (3x + 5)(3x - 5)
And there you have it! The equation 9x^2 - 25 can be factored as (3x + 5)(3x - 5).