Match the factored form on the left with the correct standard form on
the right. How did you decide on your answer?

To match the factored forms with their corresponding standard forms, we can expand each factored expression into standard form and then look for the one that matches.

Starting with a) :
Expanding gives , which matches with iii).

Next, for b) :
Expanding gives , which matches with ii).

For c) :
Expanding yields , which matches with iv).

Now, let’s look at d) :
Expanding gives , which corresponds to i).

Finally, for e) :
Expanding gives , which matches with v).

So the matches are:
a) iii
b) ii
c) iv
d) i
e) v

The decision is made through expansion of each factored term and identify coherence with each of the standard forms provided. Happy mathing!