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 ()

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• 1. Try to explain that for any integer n, polynomial (4N + 5) ^ 2 - 9 must be divisible by 8
• 2. 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
• 3. For any integer n, the square of polynomial (n + 4) - the square of N can be divisible by ()
• 4. Can (n + 7) 2 - (N-5) 2 be divisible by 24 when n is a natural number? Give reasons
• 5. Given a ^ 2 = m, B ^ 2 = n, find the value of (AB) ^ 12 (expressed by the algebraic formula containing m and N)
• 6. 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
• 7. 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
• 8. For any integer m, can the value of the algebraic formula 2m (M + 6) + (m ^ 2 + 3M + 3) * - 2 be divisible by 6
• 9. For any two integers m and n (M is greater than n), the three algebraic expressions of Pythagorean number are
• 10. 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
• 11. At 0, 1, 2, 3 Of the 101 integers, 100, there are () A. 85 B. 68 C. 34 D. 17
• 12. If an integer can be divided by two and three, then the number can be divided by two____ to be divisible by?
• 13. 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
• 14. 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______ ．
• 15. 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!
• 16. 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)
• 17. Try to prove that the product of four continuous positive integers plus 1 must be a complete square? (write the proof and steps)
• 18. Is the sum of the product of four continuous positive integers and 1 necessarily a complete square? Proof + example,
• 19. It is proved that the product of k consecutive positive integers is not a complete square number
• 20. Try to explain that the sum of the product of four integers and 1 is a complete square number