Video Transcript
Factor two 𝑎𝑏 plus eight 𝑎 completely.
Here we have an expression with two terms. So out of these two terms, we can take out a greatest common factor. So the number that we can take out of two and eight would be two. And both terms have an 𝑎, so we can take out an 𝑎. Now only the first term has a 𝑏, so we cannot take out a 𝑏.
So now to find what’s left inside the parentheses, we need to take both terms and divide each one by two 𝑎. And this will tell us what’s left over and what will go inside the parentheses. So if we take out two 𝑎 from two 𝑎𝑏, the twos cancel and the 𝑎s cancel, and we’re left with 𝑏. Now if we take two 𝑎 out of eight 𝑎, two goes into eight four times, and the 𝑎s cancel. So we are left with positive four. Therefore, two 𝑎 times 𝑏 plus four will be our final answer.
