①3x2-12x2+12x ②(1/8)a^3b-(1/8)a2b2+(1/32)ab^3 ③x^4+4 ④a^8-2a^4+1

①3x2-12x2+12x ②(1/8)a^3b-(1/8)a2b2+(1/32)ab^3 ③x^4+4 ④a^8-2a^4+1

Building owner,
Here is my answer:
1. The original formula = 3 (x ^ 2-4x + 4) = 3 [(X-2) ^ 2] (this problem mainly focuses on extracting the common factor and then using the complete square formula)
2. The original formula = a ^ 3 · B / 8-A ^ 2 · B ^ 2 / 8 + a · B ^ 3 / 32 = AB / 32 · (4a ^ 2-4ab + B ^ 2) = AB / 32 · (2a-b) ^ 2
3. The original formula = x ^ 4 + 4 + 4x ^ 2-4x ^ 2 = (x ^ 2 + 2) ^ 2-4x ^ 2 = (x ^ 2 + 2 + 2x) (x ^ 2 + 2-2x)
(this question mainly studies the problem of adding items, and then uses the square difference formula.)
4. The original formula = (a ^ 4-1) ^ 2 = [(a ^ 2 + 1) (a ^ 2-1)] ^ 2 = [(a + 1) (A-1) (a ^ 2 + 1)] ^ 2
(this question investigates the application of the complete square formula, and then uses the square difference in it.)
If you are satisfied with my answer, please don't forget to take my answer as the best one!

Complete the complete square form and write it in the form of square
9a^2b^2+15ab+________ =____________
x^4+x^2+____________ =_________

Question 1: 9A ^ 2B ^ 2 + 15ab + (5 / 2) ^ 2 = (3AB + 5 / 2) ^ 2
Question 2: x ^ 4 + x ^ 2 + 1 / 4 = (x ^ 2 + 1 / 2) ^ thank you for sharing it with me

I don't have a book with me

Have you ever been to Disneyland? Most of us may have heard of Mickey Mouse, Donald Duck and many other famous Disney characters. Maybe we have even seen them in movies. But have you ever been to Disneyland? In fact, there are several different Disneyland in the world now

How to find the greatest common divisor by short division
24 and 64, in this form:
2 │24 64
____________
|
Finally, 3 and 8, 3x8 = 24, but 8 is the greatest common divisor

Yes, the greatest common divisor is multiplied by those divisors

Solving X-Y = 500 and X + 15 ‰ X - [Y-10 ‰ y] = 950 by the method of adding, subtracting and eliminating elements of binary linear equations

Substituting x = y + 500 into the equation x + 15 ‰ X - [Y-10 ‰ y] = 950, y can be obtained
Substituting y into X-Y = 500 gives X

a. B and C are rational numbers that are not equal to 0
And satisfy the condition that the absolute value of a in a + the absolute value of B in B + the absolute value of C in C = - 1, a > b > C
Judge the sign of a, B, C, and find the absolute value of ABC

In the first case, there are two positive numbers and one negative number
Because a > b > C
So a, B are positive numbers and C are negative numbers
The absolute value of ABC = - 1
In the second case, there are three negative numbers
Because a > b > C
So a, B, C are all negative
The absolute value of ABC = - 1

Xiaohong family has 15 chickens and 7 ducks. How many ducks are there

7÷15=[7/15]
A: the number of ducks is 7 / 15 of that of chickens

Find the minimum value of function y = 2x2 ax + 1 when 0 ≤ x ≤ 1

When x = 0, y is the minimum, y = 2 × 02-A × 0 + 1 = 1; when 0 ＜ A4 ＜ 1, i.e. 0 ＜ a ＜ 4, y is the minimum when x = A4, y = 2 × (A4) 2-A × A4 + 1 = 1-a24; when A4 ≥ 1, i.e. a ≥ 4, y decreases with the increase of X; when x = 1, y is the minimum In conclusion, when a ≤ 0, the minimum value is 1, when 0 < a < 4, the minimum value is 1-a24, when a ≥ 4, the minimum value is 3-a

Be positive
1. In the equation 3x-2y = 5, if y = 2, then x =?
2. Bivariate linear equation
︴X=3Y=M,
2X+M+1
If x and Y in are equal, then M =?
3. A total of 104 people from class 1 and class 2 of Grade 7 of a school visited the museum, generally less than 50 people, and more than 50 people from class 2. It is known that the ticket regulations of the museum are as follows: for 50 people, the ticket price is 13 yuan per person; for 51-100 people, no one is far away; for more than 100 people, the ticket price is 13 yuan per person
(1) If you buy tickets in different shifts, you should pay a total of 1240 yuan. How many people are there in each shift?
(2) Please calculate how much money you can save if you buy tickets together
(3) If the number of people in the two classes is equal, do you think it is cost-effective to buy tickets in different classes or collectively?
The end of natural number ()

1.X=3；
2.1 (x = y = 0 because x = 3Y and x = y);
3. There are x people in the first class and y people in the second class
X+Y=104
13X+(Y-50)*11+50*13=1240
four
one two three four five six seven eight nine

General term formula of sequence 3 6 10 15 21?

∵6-3=3
10-6=4
15-10=5
21-15=6
The nth + 1 = the nth + N + 2
Item n + 1 = item 1 + 1 + 2 + 3 + +n+2n
Item n + 1 = 3 + n (n + 1) / 2 + 2n
The nth term = n (n-1) / 2 + 2n + 1 = n (n + 3) / 2 + 1
A: the general formula is n (n + 3) / 2 + 1