Câu hỏi của Cathy Trang

Question

Rút gọn biểu thức:

P=12(52+1)(54+1)(58+1)(516+1)

Lightning Farron · Accepted Answer

$P=12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^{16}-1\right)\left(5^{16}+1\right)$

$2P=5^{32}-1\Rightarrow P=\dfrac{5^{32}-1}{2}$Câu trả lời: $P=12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)$

$2P=\left(5^{16}-1\right)\left(5^{16}+1\right)$

$2P=5^{32}-1\Rightarrow P=\dfrac{5^{32}-1}{2}$

Bài 3: Những hằng đẳng thức đáng nhớ