
初一简便运算
6(7+1)(7^2+1)(7^4+1)(7^8+1)+16*(7+1)*(7^2+1)*(7^4+1)*(7^8+1)+1...
6(7+1)(7^2+1)(7^4+1)(7^8+1)+1
6*(7+1)*(7^2+1)*(7^4+1)*(7^8+1)+1 展开
6*(7+1)*(7^2+1)*(7^4+1)*(7^8+1)+1 展开
2个回答
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原式=(7-1)*(7+1)*(7^2+1)*(7^4+1)*(7^8+1)+1
=(7^2-1)*(7^2+1)*(7^4+1)*(7^8+1)+1
=(7^4-1)*(7^4+1)*(7^8+1)+1
=(7^8-1)*(7^8+1)+1
=(7^16-1)+1
=7^16
=(7^2-1)*(7^2+1)*(7^4+1)*(7^8+1)+1
=(7^4-1)*(7^4+1)*(7^8+1)+1
=(7^8-1)*(7^8+1)+1
=(7^16-1)+1
=7^16
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