Respuesta :

Your answer is D) (5xy² - 1)(5xy² + 1)

This is because all of the terms in 25x²y^4 are square numbers, so that means we can write the expression as a difference of two squares. The + 1 and - 1 mean that the non-squared terms will cancel out:

√25 = 5, so we know the first coefficient is 5

√(x²) = x

√(y^4) = y²

This gives us 5xy², and this option is only available in part D.

You can check your answer by expanding and seeing that you get 25x²y^4 - 5xy² + 5xy² - 1.

I hope this helps! Let me know if you have any questions :)

Answer:

D

Step-by-step explanation:

since the equation is

(5xy2 - 1)(5xy2 + 1) you multiply which becomes

25x^2y^4 + 5xy^2 - 5xy^2 - 1

you combine the terms and the final answer will be

25x^2y^4 - 1

Hope that answers your question. :)