Sure! To factor the expression 16x^2 - 25 = 0 completely, you can use the difference of squares formula. This formula states that a^2 - b^2 = (a + b)(a - b). In this case, we have 16x^2 - 25, which can be rewritten as (4x)^2 - 5^2.
Following the difference of squares formula:
1. Identify a = 4x and b = 5.
2. Apply the formula: (4x + 5)(4x - 5).
Therefore, the factored form of 16x^2 - 25 = 0 completely is (4x + 5)(4x - 5). This is the final factored expression after applying the difference of squares formula.
Answer: (4x + 5), (4x - 5) = 0
Step-by-step explanation:
To begin with, factorize the left side in the sense that, you find two numbers that can multiply by each other to make 16, and another two numbers that, when multiplied by each other, make 25. As 16 is raised to the power 2, add the first number that is a factor of 16, which is 4x, and add it to the number that is a factor of 25, being 5. Take the same figures and subtract them.
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