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Answer :
The expression 16xâ´ - 625yâ´ can be factored completely as the product of two binomials. The factored form is (4x² + 25y²)(4x² - 25y²).
To factor the given expression, we can apply the difference of squares formula, which states that a² - b² can be factored as (a + b)(a - b). In this case, we have 16xâ´ - 625yâ´.
Let's consider 16xâ´ as (4x²)² and 625yâ´ as (25y²)². Now we have (4x²)² - (25y²)².
Using the difference of squares formula, we can rewrite this expression as (4x² + 25y²)(4x² - 25y²).
Therefore, the completely factored form of 16xâ´ - 625yâ´ is (4x² + 25y²)(4x² - 25y²).
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