Question

Mọi người giúp mình nha ! Rút gọn b.thức :

a) 4(3²+1)(3^4+1)(3^8+1)

b) 48(5²+1)(5^4+1)...(5^32+1)

Cảm ơn trước ạ <3

Answer 1

a)\(4\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\)

\(=\dfrac{1}{2}.\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\)

\(=\dfrac{1}{2}.\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\)

\(=\dfrac{1}{2}.\left(3^8-1\right)\left(3^8+1\right)\)

\(=\dfrac{1}{2}.\left(3^{16}-1\right)\)

\(=\dfrac{1}{2}3^{16}-\dfrac{1}{2}\)

b) \(48\left(5^2+1\right)\left(5^4+1\right).....\left(5^{32}+1\right)\)

\(=2.\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right).....\left(5^{32}+1\right)\)

\(=2.\left(5^4-1\right)\left(5^4+1\right).....\left(5^{32}+1\right)\)

\(=2.\left(5^8+1\right).....\left(5^{32}+1\right)\)

\(=2.\left(5^{32}-1\right)\)

\(=2.5^{32}-2\)

Tham khảo nhé~

Answer 2

3 chấm ở giữa để kia làm j z

Answer 3

Ai đó giúp tui nhaaa, đa tạ !!