![](data:image/svg+xml;utf8,<svg xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" viewBox="0 0 72 71" width="72"></svg>)
For any integer n, the square of polynomial (n + 4) - the square of N can be divisible by ()
(n+4)^2-n^2
=(n+4+n)(n+4-n)
=8(n+2)
It's divisible by eight
RELATED INFORMATIONS
- 1. Can (n + 7) 2 - (N-5) 2 be divisible by 24 when n is a natural number? Give reasons
- 2. Given a ^ 2 = m, B ^ 2 = n, find the value of (AB) ^ 12 (expressed by the algebraic formula containing m and N)
- 3. Try to introduce letters and express them with appropriate algebraic expressions: 1. An integer divisible by 3. 2. The remainder is an integer of 2 divided by 3
- 4. It is known that a, B and C are all integers. For any integer x, the value of the algebraic expression AX2 + BX + C can be divisible by 3. It is proved that ABC can be divisible by 27
- 5. For any integer m, can the value of the algebraic formula 2m (M + 6) + (m ^ 2 + 3M + 3) * - 2 be divisible by 6
- 6. For any two integers m and n (M is greater than n), the three algebraic expressions of Pythagorean number are
- 7. We know that 2x + 2 = m and express 2x with an algebraic formula containing M To express the x power of 2 with an algebraic expression containing m
- 8. Let m = 3-4y + y * y, n = 5Y + 3Y * Y-8, then the polynomial 19-14y-5y * y is equal to A,M-N B,M-2N C,N-M D,2N-M
- 9. The palindrome number of any even length can not be prime number
- 10. Java for all n values not more than 200, the square of n is the palindrome number with symmetric property The palindrome number is stored in array; Output the number of palindromes in the array
- 11. For any integer n, the value of polynomial (n + 7) 2 - (n-3) 2 can () A. Divisible by 2n + 4 B. divisible by N + 2 C. divisible by 20 D. divisible by 10 and divisible by 2n + 4
- 12. Try to explain that for any integer n, polynomial (4N + 5) ^ 2 - 9 must be divisible by 8
- 13. In 0,1,2 ···, 100, how many numbers are divisible by 2 and 3 at the same time? Two two digit numbers, their greatest common divisor is 8, and their least common multiple is 96. The sum of these two numbers is ()
- 14. At 0, 1, 2, 3 Of the 101 integers, 100, there are () A. 85 B. 68 C. 34 D. 17
- 15. If an integer can be divided by two and three, then the number can be divided by two____ to be divisible by?
- 16. N is an integer, and N is used to represent the following numbers: odd number, even number, multiple of 5, number divisible by 3, three consecutive integers, integer divisible by 5 and 1 N is an integer, and n denotes the following numbers: Odd numbers, even numbers, multiples of 5, numbers divisible by 3, three consecutive integers, integers divisible by 5 and 1
- 17. Let n be a natural number, then the odd number is expressed as______ , even numbers expressed as______ The number divisible by 5 is______ The number of 3 divided by 4 is______ ．
- 18. Help me out a three digit divided by two digits {divisible, and must be divisible} formula, not less than 100, thank you Fourth grade pupils do the problem, must divide, good I give points, and a lot of Oh!
- 19. 1. The sum of the product of four consecutive integers and 1 is a complete square number. Why? Please explain the reason 2. Simplification (2 - M + 2-2 * 2 - n) / 2 * (2 - N + 3) 3. Factorization (1) (x - 2 + Y - 2) - 4x - 2 * y - 2 (2) 4*（a+b)⌒2-4*(a+b-1/4)
- 20. Try to prove that the product of four continuous positive integers plus 1 must be a complete square? (write the proof and steps)