计算 12345×12346-12344×12343=______.?
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解题思路:把12345化成12344+1带入,展开,化成12344×12346+12346-12344×12343,然后利用乘法交换律和乘法分配律,化成12344×(12346-12343)+12346,12346=12344+2进而得解.
12345×12346-12344×12343
=(12344+1)×12346-12344×12343
=12344×12346+12346-12344×12343
=12344×(12346-12343)+12346
=12344×3+12344+2
=12344×4+2
=49378
故答案为:49378.
,9,12345*12345-12344*12346
=12345²-(12345-1)*(12345+1)
=12345²-12345²+1
=1,1,=12345*12345-(12345-1)*(12345+1)
=12345*12345-(12345*12345-1*1)
=1,0,
12345×12346-12344×12343
=(12344+1)×12346-12344×12343
=12344×12346+12346-12344×12343
=12344×(12346-12343)+12346
=12344×3+12344+2
=12344×4+2
=49378
故答案为:49378.
,9,12345*12345-12344*12346
=12345²-(12345-1)*(12345+1)
=12345²-12345²+1
=1,1,=12345*12345-(12345-1)*(12345+1)
=12345*12345-(12345*12345-1*1)
=1,0,
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