计算6(7+1)(72+1)(74+1)(78+1)+1的值
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解:6(7+1)(72+1)(74+1)(78+1)+1,
=(7-1)(7+1)(72+1)(74+1)(78+1)+1,
=(72-1)(72+1)(74+1)(78+1)+1,
=(74-1)(74+1)(78+1)+1,
=(78-1)(78+1)+1,
=(716-1)+1,
=716.
解析分析:在本题中可把6看成是(7-1),再根据平方差公式一步步得出结果.
点评:本题中把6看成(7-1),再根据平方差公式一步步计算得出结果,难度适中.