1: \(\left(x^2+x\right)^2+3\left(x^2+x\right)+2=\left(x^2+x+1\right)\left(x^2+x+2\right)\)
2: \(\left(x^2+x\right)^2+4x^2+4x-12\)
\(=\left(x^2+x\right)^2+4\left(x^2+x\right)-12\)
\(=\left(x^2+x+6\right)\left(x^2+x-2\right)\)
\(=\left(x^2+x+6\right)\left(x+2\right)\left(x-1\right)\)