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?
32,870 is the answer. Hope this helps!
Answer:
what is value of f in given function
C. 50f
fhfjfjfjfjjfjfjfjfjfjfjfjfjfjfjfjfjjf
Ah hah ! People on Brainly are always asking us where they can
use this stuff in real life. HERE is a perfect example of where
you can use Least Common Multiple in real life . . . when you're
buying hot dogs and buns !
When they come in packs, with different numbers in each pack
but you want to wind up with the same number of each item,
the number of each item that you should buy is the LCM of
the numbers in each pack.
Yadira's mom absolutely aced her math in Middle School, so she
knows right away that the LCM of 9 and 12 is 36 . This tells her
that she should buy 36 hot dogs (3 packs) and 36 buns (4 packs).
