### Video Transcript

Simplify negative four π₯ plus
eight π¦ to the fourth power minus two π§ squared plus π₯ minus two π¦ to the fourth
power minus four π§ squared.

In this question, weβre asked to
simplify an algebraic expression with six terms. We can do this by collecting like
terms. Recall that like terms have the
same variables raised to the same powers. In this question, there are three
pairs of like terms. We begin by rewriting our
expression so that the like terms are next to each other. We have negative four π₯ plus π₯
plus eight π¦ to the fourth power minus two π¦ to the fourth power minus two π§
squared minus four π§ squared. Taking out the shared factor of π₯
from the first two terms, we have negative four plus one multiplied by π₯.

We can then take out the shared
factor of π¦ to the fourth power from the next two terms, giving us eight minus two
multiplied by π¦ to the fourth power. Finally, taking out the shared
factor of π§ squared from the last two terms, we have negative two minus four
multiplied by π§ squared. As negative four plus one is equal
to negative three, eight minus two is equal to six, and negative two minus four
equals negative six, our expression simplifies to negative three π₯ plus six π¦ to
the fourth power plus negative six π§ squared, which in turn is equal to negative
three π₯ plus six π¦ to the fourth power minus six π§ squared. This is the original expression
written in its simplest form.