### Video Transcript

If π₯ plus π¦ is equal to two and
π₯ minus π¦ equals six, what is the value of π₯ squared minus π¦ squared?

The expression π₯ squared minus π¦
squared is known as the difference of two squares. This factors or factorizes into two
parentheses or brackets: π₯ plus π¦ multiplied by π₯ minus π¦. In this question, weβre told that
π₯ plus π¦ is equal to two and π₯ minus π¦ is equal to six. Multiplying these numbers gives us
an answer of 12. If π₯ plus π¦ is equal to two and
π₯ minus π¦ is equal to six, then π₯ squared π¦ squared is equal to 12. It is the product of these two
numbers.