Answer:
1. Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).
(a) Factor the given expression using the GCF monomial.
(b) Factor the given expression using the difference of squares.
DO NOT ANSWER UNLESS YOU CAN EXPLAIN THIS TO ME CORRECTLY
Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:
Then, if we insert the values for x and y, we get:
When we distribute and multiply:
And once we combine like terms:
104<em> is the answer</em>
When 
, we have
and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for 
, that
Now for 
, we have
so we know the left side is at least divisible by 
by our assumption.
It remains to show that
which is easily done with Fermat's little theorem. It says
where 
is prime and 
is any integer. Then for any positive integer 
,
Furthermore,
which goes all the way down to
So, we find that
QED
Answer
Find out how many seconds faster has Alexandria's time then Adele's time .
To proof
Let us assume that seconds faster has Alexandria's time then Adele's time be x.
As given in the question
Adele Swam the length of the pool in 32.56 seconds. Alexandria swam the length of the pool in 29.4 seconds.
Than the equation becomes
x = 32.56 - 29.4
x = 3.16 seconds
Therefore the 3.16 seconds faster has Alexandria's time then Adele's time .
Hence proved
Answer: 11 2/15
Explanation: (3+7) (1/3+4/5)
10 + 17/15
10 + 1 2/15
11 2/15
