What is the correct factored form of the given equation? 4x2 - 25 = 0?
Answer: The correct factored form of the given equation 4x2 - 25 = 0 is (2x - 5) (2x + 5).
Let's understand the answer step by step.
To factorize the given equation, we use the identity of a2 - b2 = (a - b) (a + b).
Given: 4x2 - 25 = 0.
Now, we see that 4x2 can be written as (2x)2, after taking the square root.
And, we see that 25 is the square of 5, and can be represented as 52.
Now, we have (2x)2 - 52 = (2x - 5) (2x + 5), using the identity of a2 - b2 = (a - b) (a + b).