High School

Thank you for visiting Factor each expression completely 16x 4 625y 4. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

Factor each expression completely.

\[16x^4 - 625y^4\]

Answer :

The expression 16x⁴ - 625y⁴ 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 16x⁴ - 625y⁴.

Let's consider 16x⁴ as (4x²)² and 625y⁴ 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 16x⁴ - 625y⁴ is (4x² + 25y²)(4x² - 25y²).

Learn more about Factors here:

brainly.com/question/29128446

#SPJ11

Thank you for reading the article Factor each expression completely 16x 4 625y 4. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany