Find each product. (a-b)(a^+ab+b^2)

Question

Accepted Answer

Welcome back. I'm so glad you're here. We are finding the product of we're multiplying these by no meals. We've got the first set of parentheses, X minus Y. In the second set of parentheses we've got X squared minus X Y plus Y squared. And we're going to start off taking this X term and we're going to distribute it to the first term over here. And so X times X squared will give us X cute and then we're going to take this X again now multiply it by the second term, X times negative X Y is going to be minus X squared Y. And now we've got the X times the last term over here. X times Y squared will be plus xy squared. Now we're going to distribute this negative Y to the first term, the X squared so that we're going to rewrite it in alphabetical order instead of negative y x squared. We're going to write negative X squared Y. So it'll be easier to combine like terms in just a second. We've got the negative Y times the middle term. So negative Y times negative X Y will be positive X Y squared. And now this last one we've got negative Y times Y squared which will be minus Y cubed. And now let's look for like terms, we've got this negative X squared Y and another negative X squared Y. And so that's gonna be minus two X squared wise. And we've got also this positive X Y squared plus another X Y squared and that's going to be too, so plus two xy squared. Those are the only like terms. So we'll just carry down our X cubed and carry down our minus Y cubed. And that's as simplified as we can get it. So we look at our answer choices and that matches with answer choice. A well done, we'll catch you on the next one.

Find each product. (a-b)(a^+ab+b^2)

Key Concepts

Factoring

Polynomial Multiplication

Combining Like Terms

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