For any integer m, can the value of the algebraic formula 2m (M + 6) + (m ^ 2 + 3M + 3) * - 2 be divisible by 6

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• 1. For any two integers m and n (M is greater than n), the three algebraic expressions of Pythagorean number are
• 2. 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
• 3. 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
• 4. The palindrome number of any even length can not be prime number
• 5. 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
• 6. How to prove that even palindrome numbers can be divisible by 11? For example, 222442123321, the palindrome number of even digits can be divided by 11,
• 7. Why is there a palindrome number that can be divided by 11 123321 3546556453 this kind of 12321 does not count only the space as the axis of symmetry, does not count the number as the palindrome number of the axis of symmetry. I accidentally found out why? What's the principle? I heard that people used a high school theorem or something
• 8. It is proved that the sum of the numbers on each digit of a number divisible by 3 can be divisible by 3
• 9. 1. How many palindromes are there that can be divided by 9? How many palindromes are there that have hundreds of zeros among the 2 and 5 digits? How many even palindromes are there
• 10. The palindrome number obtained by 69 is () and the palindrome number obtained by 126 is ()
• 11. 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
• 12. 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
• 13. Given a ^ 2 = m, B ^ 2 = n, find the value of (AB) ^ 12 (expressed by the algebraic formula containing m and N)
• 14. Can (n + 7) 2 - (N-5) 2 be divisible by 24 when n is a natural number? Give reasons
• 15. For any integer n, the square of polynomial (n + 4) - the square of N can be divisible by ()
• 16. 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
• 17. Try to explain that for any integer n, polynomial (4N + 5) ^ 2 - 9 must be divisible by 8
• 18. 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 ()
• 19. At 0, 1, 2, 3 Of the 101 integers, 100, there are () A. 85 B. 68 C. 34 D. 17
• 20. If an integer can be divided by two and three, then the number can be divided by two____ to be divisible by?