### Video Transcript

Factor fully π minus 10 times
π plus eight minus two times π plus eight.

Given the expression π minus
10 times π plus eight minus two times π plus eight, in order to factor this,
we need a common factor between the two terms. Here are the two terms. The first term has a factor of
π minus 10 and a factor of π plus eight. And the second term has the
factors negative two and π plus eight, which means both terms share a factor of
π plus eight. And that means we can
undistribute the factor of π plus eight. In our first term, if we take
out the factor π plus eight, the factor remaining will be π minus 10.

In our second term, if we
remove π plus eight, weβll be left with negative two. Weβve now rewritten our
original expression as π plus eight times π minus 10 minus two. And within these brackets, we
can do some simplification. Since thereβs only addition or
subtraction inside the brackets, we can remove the parentheses. So, we have π plus eight times
π minus 10 minus two. And π minus 10 minus two
equals π minus 12. A fully factorized form of the
original expression would look like this. π plus eight times π minus
12.