Hello,
x^2-y^2=(x+y)(x-y)
x^3-y^3=(x-y)(x²+xy+y²)
Let's use Horner's division
.........|a^3|a^2.|a^1..........|a^0
.........|1....|5....|6..............|8....
a=p...|......|p....|5p+p^2....|6p+5p^2+p^3
----------------------------------------------------------
.........|1....|5+p|6+5p+p^2|8+6p+5p^2+p^3
The remainder is 8+6p+5p^2+p^3 or 8+6q+5q^2+q^3
Thus:
8+6p+5p^2+p^3 = 8+6q+5q^2+q^3
==>p^3-q^3+5p^2-5q^2+6p-6p=0
==>(p-q)(p²+pq+q²)+5(p-q)(p+q)+6(p-q)=0
==>(p-q)[p²+pq+q²+5p+5q+6]=0 or p≠q
==>p²+pq+q²+5p+5q+6=0
And here, Mehek are there sufficients explanations?
Answer:
Step-by-step explanation:
Given that a study of the checkout lines at the Safeway Supermarket in the South Strand area revealed that between 4 and 7 P.M. on weekdays there is an average of four customers waiting in line.
Let X be the number of customers waiting in line
X is Poisson with parameter = 4
the probability that you visit Safeway today during this period and find:
a. No customers are waiting
b. Four customers are waiting?

c. Four or fewer are waiting?
=
d. Four or more are waiting
=
The answer would be 1.0404 because 1.02 multiplied by 1.02 is 1.0404
B is 8 plus 3A
C is 37 plus A
A is A
A plus B plus C is 180
A plus 8 plus 3A plus 37 plus A is 180
5A plus 45 is 180
5A is 135
A is 27
B is 8 plus 3 times 27
B is 8 plus 81
B is 59
C is 37 plus 27
C is 64