\(8\left(3^2+1\right)\left(3^4+1\right)...+\left(3^{16}+1\right)\\ =\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)...\left(3^{16}+1\right)\\ =\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)\\ =\left(3^8-1\right)\left(3^8+1\right)\left(3^{16}+1\right)\\ =\left(3^{16}-1\right)\left(3^{16}+1\right)\\ =3^{32}-1\)
Tính nhanh
a) 2.4.(3^2+1)(3^4+1)...(3^16+1)
b) 2.(3+1).(3^2+1)(3^4+1)...(3^16+1)
c) 8.(3^2+1)(3^4+1)...(3^16+1)
Rút gọn: A = 8( 3^2 + 1)(3^4 + 1)(3^8 + 1)(3^16 + 1) - 81^16.
Tính nhanh
C=50^2-49^2+48^2-47^2+...+2^2-1^2
D=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)
E=(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)
B=8(3^2+1)(3^4+1)(3^8+1)(3^16+1) = ?
4(3^2+1)(3^4+1)(3^8+1)(3^16+1)
Tính nhanh
BT7: Tính
\(1,A=8\left(3^2+1\right)\left(3^4+1\right)...\left(3^{16}+1\right)\)
\(2,B=\left(1-3\right)\left(3+1\right)\left(3^2+1\right)\left(3^4+1\right)...\left(3^{16}+1\right)\)
\(\text{ 3(2^2 + 1)(2^4 + 1)(2^8 + 1)(2^{16} + 1)}\) 3(2^2 + 1)(2^4 + 1)(2^8 + 1)(2^16 + 1)
(3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
Rút gọn biểu thức: (3+1)(3^2+1)(3^4+1)(3^8+1)(3^16+1)(3^32+1)
Tính nhanh:D=(3+1)x(3^2+1)x(3^4+1)x(3^8+1)x(3^16+1)
