Factorize:
y3−3y2+2y−6−xy+3x
−(3−y)(x−2−y2)
(y−3)(y2+2−x)
−(3−y)(y2+2−x)
(3−y)(x−2−y2)
⇒y3−3y2+2y−6−xy+3x
⇒(y3−3y2)+(2y−6)−(xy−3x)
⇒y2(y−3)+2(y−3)−x(y−3)
⇒(y−3)(y2+2−x)
⇒−(3−y)(y2+2−x)
⇒(3−y)(x−2−y2)
Verify x^3 × y^3 =(x+y)(x^2-xy + y^3)