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Question

Rút gọn:$3\left(2^2+1\right)\left(2^4+1\right)\left(2^8+1\right)\left(2^{16}+1\right)$

☆MĭηɦღAηɦ❄ · Accepted Answer

$3(2^2+1)(2^4+1)(2^8+1)(2^16 +1)
$$
= (2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)$$
= (2^4-1)(2^4+1)(2^8+1)(2^16+1)
$$
= (2^8-1)(2^8+1)(2^16+1)
$$= (2^16 -1)(2^16+1)
= 2^32 - 1$Câu trả lời: $3(2^2+1)(2^4+1)(2^8+1)(2^16 +1)
$$
= (2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)$$
= (2^4-1)(2^4+1)(2^8+1)(2^16+1)
$$
= (2^8-1)(2^8+1)(2^16+1)
$$= (2^16 -1)(2^16+1)
= 2^32 - 1$

Bạch Thùy Linh · Answer

3(2^2 +1) (2^4 +1 ) (2^8 +1) (2^16 +1)= (4-1)(2^2+1)(2^4 +1)(2^8+1)(2^16+1)= [(2^2-1)(2^2+1)] (2^4+1) (2^8+1)(2^16+1)=(2^4 -1)(2^4+1)(2^8+1)(2^16+1)=(2^8-1)(2^8+1)(2^16+1)= (2^16-1)(2^16+1)= 2^23 -1 Chúc bạn học tốtCâu trả lời: 3(2^2 +1) (2^4 +1 ) (2^8 +1) (2^16 +1)= (4-1)(2^2+1)(2^4 +1)(2^8+1)(2^16+1)= [(2^2-1)(2^2+1)] (2^4+1) (2^8+1)(2^16+1)=(2^4 -1)(2^4+1)(2^8+1)(2^16+1)=(2^8-1)(2^8+1)(2^16+1)= (2^16-1)(2^16+1)= 2^23 -1 Chúc bạn học tốt

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