In Exercises 67–82, find each product. (7xy^2−10y)(7xy^2+10y)

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Hey everyone here we are asked to determine the product of the given expression which is the quantity of two X squared times Y cubed minus five times the quantity of two X squared times Y cubed plus five. Now here all we have to do is recall the difference of squares formula which tells us that the quantity of a minus B times the quantity of A plus B is equal to a squared minus B squared. And now here we can see that our expression is in the form of the quantity of a minus B times the quantity of A plus B. So we can see that our A. In the expression is two X squared times Y cubed and our B is equal to five. So with this information we can rewrite our given expression as the quantity of two X squared times Y cubed raised to the second power minus five, raised to the second power as well. Now just squaring both of these terms, we get a final answer of four X. To the fourth power times Y to the sixth power minus 25 which is our answer choice. D. Thanks for watching. I hope you found this video helpful and I'll see you again next time

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