Step-by-step explanation:
x2 + 2xn + n2
x2 + xn + xn + n2
x(x + n) + n (x + n)
So (x + n)^2 is the factor
Answer: 153
Step-by-step explanation:
When we have a group of N elements, the total number of combinations of K elements ( K ≤ N) is:

Where N! = N*(N - 1)*(N - 2)*...*2*1
In this case, we have a group of 18 people (then N = 18) and we want to see how many different combinations of 2 we can make (K = 2).
Using the above equation we get:

There are 153 different ways in which the manager can do this.
The given function has no undefined points nor domain constraint. Thus, the domain is:
.
<h3>Domain and Range</h3>
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
In this question, the function
has no undefined points nor domain constraint. Therefore, the domain is: 
Learn more about the domain here:
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66+6x 6 times 11 is 66 6 times x is 6x