Question

Rút gọn: A = 8( 3^2 + 1)(3^4 + 1)(3^8 + 1)(3^16 + 1) - 81^16. 

Answer 1

\(A=8\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)-81^{16}\)

\(A=\left(3^2-1\right)\left(3^2+1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)-81\)

\(A=\left(3^4-1\right)\left(3^4+1\right)\left(3^8+1\right)\left(3^{16}+1\right)-81^{16}\)

\(A=\left(3^8-1\right)\left(3^8+1\right)\left(3^{16}+1\right)-81^{16}\)

\(A=\left(3^{16}-1\right)\left(3^{16}+1\right)-81^{16}\)

\(A=3^{32}-1-81^{16}\)

Answer 2

A = 8.( 3² + 1 ).( 3⁴ + 1 ).( 3⁸ + 1).( 3¹⁶ + 1 ) - 81¹⁶

A = ( 3² - 1).( 3² + 1 ).( 3⁴ + 1 ).( 3⁸ + 1).( 3¹⁶ + 1 ) - 81¹⁶

A = ( 3⁴ - 1 ).( 3⁴ + 1 ).( 3⁸ + 1).( 3¹⁶ + 1 ) - 81¹⁶

A = ( 3⁸ - 1 ).( 3⁸ + 1).( 3¹⁶ + 1 ) - 81¹⁶

A = ( 3¹⁶ - 1 ).( 3¹⁶ + 1 ) - 81¹⁶

A = ( 3³² -  1 ) - 81¹⁶

A = -3⁶⁴