Answer:
54.
Step-by-step explanation:
(self-explanatory.)
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?
What angels? You need to show a picture :)
Answer:
-3
Step-by-step explanation:
slope (m) = (y2 - y1)/(x2 - x1)
(1, 1) --> 1 = x1, 1 = y1
(2, -2) --> 2 = x2, -2 = y2
(-2 - 1) / (2 - 1) = -3 / 1 = -3
therefore, the slope is -3
hope this helps <3
The standard form of a parabola is
So, if you expand the square, you get
which is the standard form
