Rút gọn biểu thức P=12( 5^2 +1 )(5^4 +1)(5^8 +1)(5^16 +1 )

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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

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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).`

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