Question

1/3*3*5*(4^2+1)*(4^4+1)*(4^8+1)+1/3 答案，要过程

用分数和幂的形式

Answer 1

=1/3(4-1)(4+1)(4^2+1)*(4^4+1)(4^8+1)+1/3
=1/3(4^2-1)(4^2+1)(4^4+1)(4^8+1)+1/3
=1/3(4^4-1)(4^4+1)(4^8+1)+1/3
=1/3(4^8-1)(4^8+1)+1/3
=1/3(4^16-1)+1/3
=4^16/3
就是利用平方差公式
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Answer 2

1/3*3*5*(4^2+1)*(4^4+1)*(4^8+1)+1/3
=1/3*(4^2-1)*(4^2+1)*(4^4+1)*(4^8+1)+1/3
=1/3*(4^16-1)+1/3
=4^16/3

Answer 3

1/3*3*5*(4^2+1)*(4^4+1)*(4^8+1)+1/3
=1*5*(16+1)*(64+1)*(4096+1)+1/3
=1*5*17*65*4097+1/3
=22639525又1/3