SOLUTION: Please help to show the details of arriving at the correct answer. Make sure to superscript all exponents. All exponents in final answers should be positive. Final answers shoul

Use FOIL to multiply


The letters of the word "FOIL" is an acronym for 

"F=FIRSTS", "O=OUTERS", "I=INNERS", "L=LASTS"

The FIRSTS:
The terms  and  are the FIRSTS, because
 comes FIRST in  and  comes 
FIRST in 

So we multiply the two FIRSTS,  and get
, so we write that down under the original
problem:




The OUTERS:
The terms  and  are the OUTERS, because
 and  are on the outside of ,
the ones located the farthest apart. 

So we multiply the two OUTERS,  and get
, so we write that down under the original
problem next to the . like this::




The INNERS:
The terms  and  are the INNERS, because
 and  are on the inside of ,
the ones located in the middle. 

So we multiply the two INNERS,  and get
, so we write that down under the original
problem:




The LASTS:
The terms  and  are the LASSTS, because
 comes LAST in  and  comes 
FIRST in 

So we multiply the two LASTS,  and get
, so we tack that on down under 
the original problem:




Now that we have finished the "FOIL" process, we look
to see if there are any like terms that will combine:

We see that the middle two terms  will
combine to give , so underneath we replace
the  by  and get





Edwin