In Exercises 67–82, find each product. (3x−y)(2x+5y)

Question

Accepted Answer

Hello today we're going to be determining the product of a given expression. So the expression given to us is two X minus three Y times the quantity X plus four Y. Now in order to take the product of these two quantities, we're going to need to foil them together and that means that we're going to take our first term two X. And multiply to the first term X. And the second term for Y. Then we're gonna take our second term negative three Y. And multiply to our first term X. And our second term for Y. So doing this two X times X is going to give me two X squared two X times four Y. Is going to give me eight X Y. Negative three Y times X. Is going to give me negative three X. Y. And negative three. Why times four Y is going to give me negative y squared. Now what we need to do is just go ahead and combine the like terms together. While the only combine herbal like terms is going to be eight X. Y. And negative three X. Y. Because they both have the xy term and combining those together is going to give us the tri no meal, two X squared plus five X Y minus 12 Y squared. And that's going to be the product of these two quantities. That also means that the answer to this problem is going to be D. So I hope this video helps you in understanding how to take the product of two quantities and I'll go ahead and see you all in the next video.

In Exercises 67–82, find each product. (3x−y)(2x+5y)

Key Concepts

Distributive Property

Binomial Multiplication

Combining Like Terms

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