Decomposition of common factor (1 + x) + X (1 + x) + X (1 + x) ^ 2 + X (1 + x) ^ 3 +... + X (1 + x) ^ 99 Please explain why There's another 2 ^ 10 minus 2 ^ 9 minus 2 ^ 8 minus 2 ^ 7 minus 2 ^ 6. Minus 2 Please also give reasons Please explain each step to me

Decomposition of common factor (1 + x) + X (1 + x) + X (1 + x) ^ 2 + X (1 + x) ^ 3 +... + X (1 + x) ^ 99 Please explain why There's another 2 ^ 10 minus 2 ^ 9 minus 2 ^ 8 minus 2 ^ 7 minus 2 ^ 6. Minus 2 Please also give reasons Please explain each step to me

(1+X)+X(1+X)+X(1+X)^2+X(1+X)^3+...+X(1+X)^99 =(1+X)[1+X+X(1+X)+X(1+X)^2+X(1+X)^3+...+X(1+X)^98]=(1+X)^2[[1+X+X(1+X)+X(1+X)^2+X(1+X)^3+...+X(1+X)^97]=(1+X)^3[1+X+X(1+X)+X(1+X)^2+X(1+X)^3+...+X(1+X)^96]...

(X & # 178; + X + 1) &# 178; - 1 decomposes the common factor
(X-Y) & # / 4 - (x + y) & # / 4 decompose the common factor

How to decompose the common factor of quadratic-1 of X

X & # 178; - 1 = (x + 1) (x-1) square difference formula

If the square of A-B = one fourth and A-B = one sixth, then the value of a + B is?

Because a ^ 2-B ^ 2 = 1 / 6
So (a + b) (a-b) = 1 / 6
Because A-B = 1 / 3
So a + B = 1 / 2
So the value of a plus B is 1 / 2

What is the diameter and height of a 50 cubic meter biogas digester

The inner diameter is 5 meters and the net height is 3.4 meters

Primary school mathematics grade 5 Volume 1 final exercise paper

1. 15 hours = () hours () minutes
0.05 km2 = () ha = () m2
2. According to 32 × 46 = 1472, the number is 0.32 × 4.6 = () 1.472 ÷ 0.46 = ()
3. 6.4 × 5 means (), 6.4 × 0.5 means ()
4. The product of 2.32 × 0.46 has () decimal places, and it is about () to keep one decimal place, accurate to the thousandth decimal place
5. The store bought a bag and sold m bags every day. After 4 days, there are () bags left. If a = 120, M = 25, there are () bags left
6. Fill in "O", "O" or "="
0.27÷0.1○0.27×10 6.09×0.5○6.09
1.4×1.1○1.4 8.1÷0.98○8.1
7. Along the distance of 40 meters, Wang Ning took 62 steps for the first time, 64 steps for the second time and 63 steps for the third time, with an average of each step_______ He walked 425 steps from his home to the school gate, and Wang Ning's home was about 30 kilometers away from the school_______ Rice
2、 Multiple choice questions (2 points for each sub question, 10 points in total)
1. In the following expressions, () is the equation
A、a（b＋c）＝ab＋ac B、4x－1.2×8 C、5.6－3x＝2.2 D、5x－6＞12
2. If a △ 0.8 = B (B is not 0), then ()
A. B must be greater than a, B may be greater than a, C, B must be less than a, D, B may be less than a
3. If the multiplier is increased by 10 times and the multiplicand is also increased by 10 times, then ()
A. The product increases by 10 times B, decreases by 100 times C, remains unchanged D, and increases by 100 times
4. In the following formula, the smallest product is ()
A、2.3×0.19 B、0.23×0.19 C、23×0.019 D、0.0023×190
5. The area of the school classroom is about 52 square meters
A. Square decimeter B, hectare C, square kilometer D, square meter
3、 Judgment questions (2 points for each sub question, 10 points in total)
1. The quotient of 5 / 1.7 is 2, and the remainder is 16
2. The results of 4.2 × 0.6 and 0.6 × 4.2 are the same
3. If a number is multiplied by a decimal, the product must be smaller than the multiplicand
4、3.5×2÷3.5×2＝7÷7＝1.( )
5. What is the difference between 15.05 minus 5.05 divided by 0.5? The formula is 15.05-5.05 △ 0.5
4、 Calculation. (37 points in total)
1. Write the number directly. (0.5 points for each question, 5 points in total)
0.46+0.34= 1-0.78= 2.7×3= 9.3÷0.93= 0.25×0.7×4=
0.54÷18= 0.025×4.4= 7.38-5.88= 0.4+0.4÷0.1= 8.2÷8.2+8.2=
2. Solving equations. (2 points for each question, 8 points in total)
4（0.9+X）=4.8 0.4×20 - 0.4X=6 1.6X – 9=3.8 1.2X – 0.6+3.4=5.
3. Recursive equation calculation. (those who can be simplified should be simplified, 3 points for each question, 18 points in total)
0.38+9.62÷3.7×5.4 8.74 - 8.74÷23+700×0.03 1.25×4.8
4.38÷（36.94+34.3×0.2） 0.27×99+0.27 [（5.84-3.9）÷0.4+0.15] ×0.92
4. List the equations and solve them. (3 points for each question, 6 points in total)
1. The number a is 7.5, which is 1.5 more than 4 times the number B. what's the number B
2. The product of 1.8 times of a number plus 1.6 times 4, and the sum is 13.6, find this number
5、 Practical questions (5 points for each question, 25 points in total)
1. My brother has 28 stamps, which is 1.5 times less than my brother's. how many stamps do they have?
2. In a trapezoidal wheat field, the upper bottom is 30 meters, the height is 50 meters, and the lower bottom is 60 meters. A total of 63 kg of chemical fertilizer is applied. How many kg of chemical fertilizer is applied per square meter?
3. A pile of coal is transported to the school canteen. It is planned to burn 50 kg of coal every day. It will be finished in 6.5 days, and it will be finished in 10 days. How many kg less coal is actually burned than planned every day?
4. Buses and trucks travel from two places 852km apart and face each other at the same time. When they meet, the distance of buses is 189km less than twice that of trucks. How many kilometers do buses and trucks travel?
5. Two motorboats are sailing from the east port to the West Port 324km away at the same time. When boat B arrives at the West Port, boat a is 52.8km away from the West Port. It is known that boat a travels 45.2km per hour. How many kilometers can boat B travel per hour? You can also search online

Fill in the following seven numbers 1, 2, 3, 6, 7, 8 and 9 to make them hold () + () = () ()_ ()=()
It's urgent. Thank you

6 + 7 = 139-8 = 2 is wrong

Mathematical calculation (process clear)
（1）-2²-（1-1/5×0.2）÷（-2）².
(2) (1 / 3-5 / 7-2 / 5) × (- 105) + 2 and 13 / 14 × (- 7)

(1) - 2 & sup2; - (1-1 / 5 × 0.2) △ (- 2) & sup2; = - 4 - (1-1 / 5 × 1 / 5) △ 4 = - 4 - (1-1 / 25) × 1 / 4 = - 4-24 / 25 × 1 / 4 = - 4-6 / 25 = 106 / 25 (2) (1 / 3-5 / 7-2 / 5) × (- 105) + 2 and 13 / 14 × (- 7) = (35 / 105-75 / 105-42 / 105) × (- 105) + (51 / 14) × (- 7) =

Answer to question 5 on page 22 of mathematics exercise book of grade 5 (Beijing Normal University)

Write down the title, be specific, and then help you. OK, absolutely right

Who knows the divisibility of 17 and 19?
Be more detailed and have examples

For the judgment of being divided by 17, there is a method of truncated times: truncate the last 1 bit, 5 times, subtract:
For example, for 209876543:
20987654-3*5=20987639
2098763-9*5=2098718
209871-8*5=209831
20983-1*5=20978
2097-8*5=2057
205-7 * 5 = 170 can be divided by 17, then the original number is divided by 17
There is a similar way to judge the division by 19: truncate 1 bit at the end, double the size, add up:
For example, 234821
23482+1*2=23484
2348+4*2=2356
235+2*6=247
If 24 + 2 * 7 = 38 can be divided by 19, then the original number can be divided by 19
There is a similar way to judge the division by 39: truncate 1 bit at the end, 4 times larger, add up:
For example, 4815213
481521+3*4=481533
48153+3*4=48165
4816+5*4=4836
483+6*4=507
If 50 + 7 * 4 = 78 is divisible by 39, then the original number is divisible by 39
…… Odd prime division method has a little rule, the landlord can continue to ask questions