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The teacher gave such a question and compared the product size of the following two formulas: 1] 12345x54321 2] 12344x54322 what's the thinking process
12345x54321=（12344+1）*54321=12344*54321+54321
12344×54322=（12344）*（54321+1）=12344*54321+12344
Obviously (1) big
The teacher wrote three formulas on the blackboard: 52-32 = 8 × 2, 92-72 = 8 × 4152-32 = 8 × 27. Wang Hua then wrote two formulas with the same rule: 112-52 = 8 × 12152-72 = 8 × 22 (1) Please write two more formulas (different from the above formula) with the above rule; (2) write the rule reflecting the above formula in words; (3) prove the correctness of this rule
(1) 112-92 = 8 × 5132-112 = 8 × 6. (2) rule: the square difference of any two odd numbers is equal to the multiple of 8. (3) prove: let m and n be integers, and two odd numbers can represent 2m + 1 and 2n + 1, then (2m + 1) 2 - (2n + 1) 2 = 4 (m-n) (M + N + 1)
The teacher went to the blackboard and listed an arithmetic problem: 120 + 27 △ 3
What is the sum of the quotient of one hundred and twenty plus twenty-seven divided by three
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