25x²-9
difference of squares:
(5x+3)(5x-3)
To simplify the expression 25x² - 9, we can factor it using the difference of squares formula.
First, the expression 25x² can be written as (5x)².
The formula for the difference of squares is a² - b² = (a + b)(a - b).
So, using the formula, we can rewrite the expression as (5x + 3)(5x - 3).
Therefore, 25x² - 9 can be simplified to (5x + 3)(5x - 3).
To simplify the expression 25x² - 9, we can use the difference of squares formula. The difference of squares formula states that for any two terms a² - b², it can be factored as (a + b)(a - b).
In this expression, we have 25x² - 9. We can rewrite 25x² as (5x)² and 9 as 3².
Now applying the difference of squares formula, we can rewrite the expression as:
(5x + 3)(5x - 3)
So, the simplified form of 25x² - 9 is (5x + 3)(5x - 3).