Question (a ^ 2-1) (a ^ 2 + 1) (A-1) - (a ^ 2-1) ^ 2

Question (a ^ 2-1) (a ^ 2 + 1) (A-1) - (a ^ 2-1) ^ 2

(a^2-1)(a^2+1)(a-1）-（a^2-1)^2
=(a^2-1)[(a^2+1)(a-1）-(a^2-1)]
=(a^2-1)(a^3-a^2+a-1-a^2+1)
=(a+1)(a-1)(a^3-2a^2+a)
=a(a+1)(a-1)(a^2-2a+1)
=a(a+1)(a-1)^3
a(a-1)^3(a+1)
(a^2-1)(a^2+1)(a-1）-（a^2-1)^2
=(a^2-1)[(a^2+1)(a-1）-(a^2-1)]
=(a^2-1)[(a^2+1)(a-1）-(a-1)(a+1)]
=(a+1)(a-1)(a-1)[(a^2+1)-(a+1)]
=(a+1)(a-1)(a-1)[a^2-a]
=a(a+1)(a-1)(a-1)(a-1)
=a(a+1)(a-1)^3
（a^2-1)(a^2+1)(a-1)-(a^2-1)^2
=(a+1)(a-1)(a^2+1)(a-1)-(a+1)^2(a-1)^2
=(a+1)(a-1)^2[(a^2+1)-(a+1)]
= (a+1)(a-1)^2(a^2-a)
=a(a+1)(a-1)^3
Ask a few mathematical factorization, give the answer directly
(1) X & sup3; - 25X (2) m to the fourth power - 16N to the fourth power (3) 3x to the fourth power - 243 (4) y & sup2; - 16 (5) - X & sup2; + Y & sup2;
(6) The fourth power of 2x & sup2; - 8 (7) x - 1 (8) x & sup2; Y & sup2; - 1 (9) 4m & sup2; - 9N & sup2; (10) - 16x & sup2; + 9y & sup2;
(11)(a+b)²-c² (12)3X³-12XY² (13)-3+27X² (14)(X+1)(X-1)-8
(15) (16) 3ax & sup2; - 6AX + 3ay & sup2; (17) - X & sup2; + 4x-4
(18)(a+b)²-6(a+b)+9 (19)x²-2xy+y² (20)1-1/2m+1/16m²
A total of 20 questions,
1.x(x+5)(x-5)
2.(m^2+4n^2)(m+2n)(m-2n)
3.3(x^2+9)(x+3)(x-3)
4.(y+4)(y-4)
5.(y-x)(y+x)
6.2(x+2)(x-2)
7.(x^2+1)(x+1)(x-1)
8.(xy+1)(xy-1)
9.(2m+3)(2m-3)
10.(3y+4x)(3y-4x)
11.(a+b+c)(a+b-c)
12.3x(x+2y)(x-2y)
13.3(3x+1)(3x-1)
14.(x+3)(x-3)
15. The fourth power of a (x ^ 2 + y ^ 2) (x + y) (X-Y)
16.3a(x-y)^2
17.-(x-2)^2
18.(a+b-3)^2
19.(x-y)^2
20.(m/4-1)^2
x(x+5)(x-5)
(m^2+4n^2)(m+2n)(m-2n)
3(x^2+9)(x+3)(x-3)
(Y+4)(Y-4)
(x+y)(y-x)
2(x+2)(x-2)
(x^2+1)(x+1)(x-1)
(xy+1)(xy-1)
(2m+3n)(2m-3n)
(3y+4x)(3y-4x)
(a + B + C) (a +... Expansion
x(x+5)(x-5)
(m^2+4n^2)(m+2n)(m-2n)
3(x^2+9)(x+3)(x-3)
(Y+4)(Y-4)
(x+y)(y-x)
2(x+2)(x-2)
(x^2+1)(x+1)(x-1)
(xy+1)(xy-1)
(2m+3n)(2m-3n)
(3y+4x)(3y-4x)
(a+b+c)(a+b-c)
3x(x+2y)(x-2y)
3(3x+1)(3x-1)
(X+3)(X-3)
a^4(x^2+y^2)(x+y)(x-y)
3a(x-y)^2
-(x-2)^2
(a+b-3)^2
(x-y)^2
(1-1/4m)^2
^2 is the second power
1.x(x-5)(x+5)
2.(m^2+4n^2)(m+2n)(m-2n)
3. 3(x^2+9)(x+3)(x-3)
4.(y+4)(y-4)
5.(y-x)(y+x)
6.2(x+2)(x-2)
7.(x^2+1)(x-1)(x+1)
8.(xy+1)(xy-1)
9.(2m+3n)(2m-3n)
Finding positive integer solution of equation 3x + 5Y = 31
1, find the positive integer solution of equation 3x + 5Y = 31
2, solve equation (6x + 7) 2 (3x + 4) (x + 1) = 6
want
1. {x, y} = {2,5} and {x, y} = {7,2}
2. Is the previous 2 square? If so, expand the brackets, and then move the items to merge the similar items
0 1 2 3 4 5 6 7 8 9 () + () = () - () = () () multiply () = () each number
0 1 2 3 4 5 6 7 8 9
() + () = () - () = () times () = () each number can only be used once
2×3=6 1+7=8 9-4=5
3+5＝8 9-1＝8 2*4＝8
9-5=4 1+7=8 2*3=6
1+2=3 4+5=9 6+7=13
The number of positive integer solutions of equation 3x + 5Y = 501 is ()
A.33 B.34 C.35 D.100
Do not require a detailed process, as long as the correct answer on the line, to be quick yo!
A.33
501÷15=33.4
5 / 18 × () = () × 3 / 4 = 7 / 8 △ () how to solve the math problem?
5/18×（18/5）=（4/3）×3/4=7/8÷（7/8）
Write a positive integer solution of the quadratic equation 3x-5y = 1-----
Which is it?
X=7 Y=4
(+0.2)+(-0.2)+(+0.7)+(-0.3)+(-0.4)+(+0.6)+0+(-0.1)+(-0.6)+(+0.5)+(-0.2)+(-0.5)=?
(+0.2)+(-0.2)+(+0.7)+(-0.3)+(-0.4)+(+0.6)+0+(-0.1)+(-0.6)+(+0.5)+(-0.2)+(-0.5)=?
(+0.2)+(-0.2)+(+0.7)+(-0.3)+(-0.4)+(+0.6)+0+(-0.1)+(-0.6)+(+0.5)+(-0.2)+(-0.5)=(+0.7)+(-0.3)+(-0.4)+(+0.6)+(-0.1)+(-0.6)+(-0.2)=(+0.7)+(-0.3)+(-0.4)+(-0.1)+(-0.2)=(-0.1)+(-0.2)=-0.3
1. The length of a train is 180m. It takes 20s for a person and a train to walk in the same direction. If a person and a train walk in the opposite direction, it takes 15s for the whole train to pass
A series of quadratic equations with two variables
Suppose: train speed x, human speed y, then,
20X-20Y=180
15X+15Y=180
The solution is x = 10.5, y = 1.5
If the speed is x and the speed is y, then
180 / (Y-X) = 20 and 180 / (y + x) = 15
Y-X = 9 and y + x = 12
The solution is x = 1.5, y = 10.5
So the speed is 1.5 meters per second and the speed is 10.5 meters per second
Set speed X and pedestrian speed y
180/(X-Y)=20
180/(X+Y)=15
X=10.5
Y=1.5
Let X be the speed of a train and y be the speed of a man
So 20 (X-Y) = 180
15(x+y)=180
So x = 10.5 M / s, y = 1.5 m / s
Train 10.5 M / s, person 1.5 m / S
Given the set a = (x, X less than 2), B = (x, 0 less than x less than 5), the complete set u = R to find (CUA) UB to find anb
CuA={x,x>=2}
(CuA)uB={x.2
CuA={x|x>=2}
（CuA）∪B ={x|2