Factorization of a ^ 3 (BZ CY) ^ 3 + B ^ 3 (Cx AZ) ^ 3 + C ^ 3 (ay BX) ^ 3

Factorization of a ^ 3 (BZ CY) ^ 3 + B ^ 3 (Cx AZ) ^ 3 + C ^ 3 (ay BX) ^ 3


-3abc(ay-bx)(az-cx)(bz-cy)



The best way to solve the equations is ay + BX = C, CX + AZ = B, BZ + CY = A. thank you for your detailed process
Solve the equations ay + BX = C, CX + AZ = B, BZ + CY = a
It's better to take photos with detailed process. Thank you


ay+bx=c------acy+bcx=cc(1)
cx+az=b------bcx+abz=bb(2)
bz+cy=a------abz+acy=aa(3)
(1) (2) + (3) ABZ + ACE + BCX = 1 / 2 (AA + BB + CC) (4)
therefore
(4) - (1) get
ABZ = 1 / 2 (AA + BB CC), then Z is solvable
(4) - (2) get
AC y = 1 / 2 (AA BB + CC), then y can be obtained
(4) - (3) get
BCX = 1 / 2 (- AA + BB CC), then x is solvable



a^3(bz-cy)^3+b^3(cx-az)^3+c^3(ay-bx)^3
Factorization


Is it factorization? It turns out
-3abc(ay-bx)(az-cx)(bz-cy) .



1/1×2+1/2×3+1/3×4+1/4×5+… +How to calculate 1 / 39 × 40


1/1×2+1/2×3+1/3×4+1/4×5+… +1/39×40 =1-1/2+1/2-1/3+1/3-1/4+.+1/39-1/40 =1-1/40 =39/40



In VB, the value of the expression "4.5 mod 10 / 3.5" is (a) a 0 B 1 C 3 D 5 why?


4.5 Mod 10 \ 3.5
= 4.5 Mod 2
= 4 Mod 2
= 0
So the answer is a 0



How to do 20 - (2 | 3 + 2 | 15 + 2 | 56 + 2 | 72 + 2 | 99)
In short,


Note: 2 / N (n + 2) = 1 / n-1 / (n + 2)
It seems that the title is wrong. In theory, the original title should be
20-(2|3+2|15+2|35+2|63+2|99)
=20-(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=20-(1-1/11)
=20-10/11
=210/11
Similar to this question are 1 / 2 + 1 / 6 + 1 / 12 +... + 1 / N (n + 1) = n / (n + 1)
1/n(n+1)=1/n-1/(n+1)



What is 0.. 254 times 0.25


0.0635



The square of a + B-2 = 6a-9, find the value of ab,


a^2+√b-2=6a-9
√b-2+a^2-6a+9=0
√b-2+(a-3)^2=0
So B-2 = 0, A-3 = 0
Namely
b=2,a=3
So √ AB = √ 6



Find the definition field of the following functions: F (x) = 1 / (4x + 7); f (x) = √ (1-x) + √ (x
Find the domain of definition of the following functions: F (x) = 1 / (4x + 7); f (x) = √ (1-x) + √ (x + 3) - 1


The definition field of F (x) = 1 / (4x + 7) is as follows:
4X + 7 is not equal to 0
We get: X is not equal to - 4 / 7
F (x) = radical (1-x) + radical (x + 3) - 1
1-x > = 0 get x = 0 get x > = - 3
So the definition field of X is: [- 3,1]



How many square meters is a foot
How much square area is 200 feet;


1 sq ft = 0.09290304 sq m
200 square feet = 18.580608 square meters