Question

Rút gọn biểu thức:

a) (6x+1)^2+(6x-1)^2-2(1+6x)(6x-1).

b) 3(2^2+1)(2^4+1)(2^8+1)(2^16+1).

Answer 1

a) \(\left(6x+1\right)^2+\left(6x-1\right)^2-2\left(1+6x\right)\left(6x-1\right)\)

 \(=\left(6x+1\right)\left(6x+1\right)+\left(6x-1\right)\left(6x-1\right)-2\left(1+6x\right)\left(6x-1\right)\)

\(=\left(6x+1\right)\left(6x+1\right)+\left(6x-1\right)\left[\left(6x-1\right)-2\left(1+6x\right)\right]\)

\(=\left(6x+1\right)\left(6x+1\right)+\left(6x-1\right)\left(6x-1-2-12x\right)\)

\(=36x^2+12x+1+\left(6x-1\right)\left(-6x-3\right)\)

\(=36x^2+12x+1+\left(-36x^2-12x+3\right)\)

\(=36x^2+12x+1-36x^2-12x+3\)

\(=4\)

Answer 2

câu b làm thế nào vậy