Rút gọn biểu thức P=12( 5^2 +1 )(5^4 +1)(5^8 +1)(5^16 +1 ) 23/08/2021 Bởi Peyton Rút gọn biểu thức P=12( 5^2 +1 )(5^4 +1)(5^8 +1)(5^16 +1 )
Đáp án: P=12(5^2+1)(5^4+1)(5^8+1)(5^16+1) 2P=(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1) 2P=(5^4-1)(5^4+1)(5^8+1)(5^16+1) 2P=(5^8-1)(5^8+1)(5^16+1) 2P=(5^16-1)(5^16+1) 2P=5^32-1 P=5^32-1/2 Bình luận
`P=12.(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)` `P= 1/2 .(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)` `P= 1/2 .(5^4-1)(5^4+1)(5^8+1)(5^{16}+1)` `P= 1/2 .(5^8-1)(5^8+1)(5^{16}+1)` `P= 1/2 .(5^{16}-1)(5^{16}+1)` `P= 1/2 .(5^{32}-1).` Bình luận
Đáp án:
P=12(5^2+1)(5^4+1)(5^8+1)(5^16+1)
2P=(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^16+1)
2P=(5^4-1)(5^4+1)(5^8+1)(5^16+1)
2P=(5^8-1)(5^8+1)(5^16+1)
2P=(5^16-1)(5^16+1)
2P=5^32-1
P=5^32-1/2
`P=12.(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)`
`P= 1/2 .(5^2-1)(5^2+1)(5^4+1)(5^8+1)(5^{16}+1)`
`P= 1/2 .(5^4-1)(5^4+1)(5^8+1)(5^{16}+1)`
`P= 1/2 .(5^8-1)(5^8+1)(5^{16}+1)`
`P= 1/2 .(5^{16}-1)(5^{16}+1)`
`P= 1/2 .(5^{32}-1).`