Đáp án+Giải thích các bước giải:
`a)24(5^2+1)(5^4+1)(5^8+1).......(5^256+1)`
`=(25-1)(5^2+1)(5^4+1)(5^8+1).......(5^256+1)`
`=(5^2-1)(5^2+1)(5^4+1)(5^8+1).......(5^256+1)`
`=(5^4-1)(5^4+1)(5^8+1).......(5^256+1)`
`=(5^8-1)(5^8+1).......(5^256+1)`
`=(5^16-1)......(5^256+1)`
`=(5^256-1)(5^256+1)`
`=5^512-1`
`b)4(3^2+1)(3^4+1)(3^8+1).......(3^512+1)`
`=(2.4(3^2+1)(3^4+1)(3^8+1).......(3^512+1))/2`
`=(8.(3^2+1)(3^4+1)(3^8+1).......(3^512+1))/2`
`=((9-1)(3^2+1)(3^4+1)(3^8+1).......(3^512+1))/2`
`=((3^2-1)(3^2+1)(3^4+1)(3^8+1).......(3^512+1))/2`
`=((3^4-1)(3^4+1)(3^8+1).......(3^512+1))/2`
`=((3^8-1)(3^8+1).......(3^512+1))/2`
`=((3^16-1).......(3^512+1))/2`
`=((3^512-1)(3^512+1))/2`
`=(3^1024-1)/2`