Question

Phân tích đa thức thành nhân tử :

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

Answer 1

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

\(=36x^2+12x^{ }+1-6x+1-36x^2+1\)

\(=6x+2\)

\(=2\left(x+3\right)\)

Answer 2

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

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

\(=6x+2=2\left(3x+1\right)\)