Square difference formula （1+1/2）（1+1/2^2）（1+1/2^4）（1+1/2^8）+1/2^15 Can you be more detailed? I have already achieved 2 (1-1 / 2 ^ 16) + 1 / 2 ^ 15 for the grade 5 children's shoes I just answered

Square difference formula （1+1/2）（1+1/2^2）（1+1/2^4）（1+1/2^8）+1/2^15 Can you be more detailed? I have already achieved 2 (1-1 / 2 ^ 16) + 1 / 2 ^ 15 for the grade 5 children's shoes I just answered

Original formula = 2 (1-1 / 2) (1 + 1 / 2) (1 + 1 / 2 ^ 2) (1 + 1 / 2 ^ 4) (1 + 1 / 2 ^ 8) + 1 / 2 ^ 15
=2（1-1/2^16）+1/2^15
=2

Mathematics square difference formula in Volume 2 of Grade 7
1. If s = 1-178; - 2-178; + 3-178; - 4-178 +99 & # 178; - 100 & # 178; 101 & # 178;, then the remainder of s divided by 103 is?
2. Calculation 1. (√ 2 + 1) (√ 2-1) 2.6 × (7 + 1) (7 & # 178; + 1) (the fourth power of 7 + 1) (the eighth power of 7 + 1) + 1
3. Given that the 48th power-1 of 2 can be divided by two integers between 60 and 70, what are the two integers?
4.（1-1/2²）（1-1/3²）（1-1/4²）…… (1-1 / 9 & # 178;) (1-1 / 10 & # 178;) is equal to?
If (x-a) (X-B) = x & # 178; + MX + N, then M and N are?
5. M is the cubic form of X, n is the quintic form of X, then M + n = how many times? M-N = how many times? M * n = how many times?
6. If the product of ax & # 178; + BX + 1 and 2x & # 178; - 3x + 1 does not contain X & # 178; term or X term, find the value of a and B
7. If there is a rectangular green space in a residential area, we should first plan it into a square green space, increase its width by 2 meters and reduce its length by 2 meters, then it can become a square, and the corresponding area will be expanded by 3 times of the original area. How large is the original area of this green space?

1.s=1²-2²+3²-4²…… +99²-100² +101²
=1²+（3²-2²）+（5²-4²）…… +（99²-98²）+（101²-100²）
=1+（3+2）（3-2）+（5+4）（5-4）+.+（99+98）（99-98）+（101+100）（101-100）
=1+2+3+4+5+.98+99+100+101
=（1+101）*101/2=5151
Because 103 * 50 + 1 = 5151
I.e. 5151 / 103 = 50
The remainder of 5151 divided by 103 is 1
2..（1）（√2+1）（√2-1）=2-1=1
(2) (7-1) (7 + 1) (7 & # 178; + 1) (the fourth power of 7 + 1) (the eighth power of 7 + 1) + 1
=(7 & # 178; - 1) (7 & # 178; + 1) (the fourth power of 7 + 1) (the eighth power of 7 + 1) + 1
=(the fourth power of 7-1) (the fourth power of 7 + 1) (the eighth power of 7 + 1) + 1
=The 16th power of 7 - 1 + 1 = the 16th power of 7
2 can be divided by two integers between 60 and 70
Then the 48th power - 1 of 2 = the 16th power - 1 of 8
=(8th power of 8 + 1) (8th power of 8 - 1)
=(the eighth power of 8 + 1) (the fourth power of 8 + 1) (the square of 8 + 1) (the square of 8-1)
Because the last two factors are 63,65, the two integers are 63,65
4,（1-1/2²）（1-1/3²）（1-1/4²）…… （1-1/9²）（1-1/10²
=（1-1/2）（1+1/2）（1-1/3）（1+1/3）（1-1/4）（1+1/4）… （1-1/10）（1+1/10）
=1/2×11/10
=11/20
5. M + n is quintic
M-N is also quintic,
M × n is an octave
6. Multiplication of two polynomials,
The coefficient of quadratic term and quadratic term is 0,
Then a-3b + 2 = 0
b-3=0
Therefore, a = 7, B = 3
7. Let the side length of the changed square be a
Then area (a + 2) (A-2)
a^2=3(a+2)(a-2)
a^2=6,
（a+2）（a-2）=a^2-4=2
So the original area is 2

For a three digit number, its ten digit number is x, the one digit number is 5 more than the ten digit number, and the hundred digit number is two digits of the ten digit number?

Is a hundred digit number twice as many as a ten digit number?
Digit = x + 5
Hundreds = 2x
This is a three digit number
=2x×100+10x+x+5
=200x+11x+5
=211x+5

From 1:15 To 1:35, how much angle did the clock turn?

20 minutes is one third of an hour, 360 / 12 = 30 / 3 = 10, the answer is 10 degrees