Video Transcript
Factor fully 𝑎 minus 10 times
𝑎 plus eight minus two times 𝑎 plus eight.
Given the expression 𝑎 minus
10 times 𝑎 plus eight minus two times 𝑎 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
𝑎 minus 10 and a factor of 𝑎 plus eight. And the second term has the
factors negative two and 𝑎 plus eight, which means both terms share a factor of
𝑎 plus eight. And that means we can
undistribute the factor of 𝑎 plus eight. In our first term, if we take
out the factor 𝑎 plus eight, the factor remaining will be 𝑎 minus 10.
In our second term, if we
remove 𝑎 plus eight, we’ll be left with negative two. We’ve now rewritten our
original expression as 𝑎 plus eight times 𝑎 minus 10 minus two. And within these brackets, we
can do some simplification. Since there’s only addition or
subtraction inside the brackets, we can remove the parentheses. So, we have 𝑎 plus eight times
𝑎 minus 10 minus two. And 𝑎 minus 10 minus two
equals 𝑎 minus 12. A fully factorized form of the
original expression would look like this. 𝑎 plus eight times 𝑎 minus
12.
