a) \(=\left(3x+1-x-1\right)\left(3x+1+x+1\right)=2x\left(4x+2\right)=4x\left(2x+1\right)\)
b) \(\left(x-1+x+2\right)\left[\left(x-1\right)^2-\left(x-1\right)\left(x+2\right)+\left(x+2\right)^2\right]=\left(2x+1\right)\left(x^2-2x+1-x^2-x+2+x^2+4x+4\right)\)\(=\left(2x+1\right)\left(x^2+x+7\right)\)
c) \(=\left(x^2-y^2\right)-\left(x+y\right)=\left(x+y\right)\left(x-y\right)-\left(x+y\right)=\left(x+y\right)\left(x-y-1\right)\)
\(x^2-x-y^2-y\)
\(=\left(x-y\right)\left(x+y\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(x-y-1\right)\)
hk tốt