\(=y^3+8+y^2-4\)
\(=\left(y+2\right)\left(y^2-2y+4\right)+\left(y+2\right)\left(y-2\right)\)
\(=\left(y+2\right)\left(y^2-y+2\right)\)
y3+y2+4
=y3+y2+4+4y-4y
=(y3-4y)+(y2+4y+4)
=y (y2-4)+(y+2)2
=y (y-2)(y+2)+(y+2)2
=(y+2)[y(y-2)+y+2]
=(y+2)(y2-2y+y+2)
=(y+2)(y2-y+2)