I)
$\,2ap^2\,-\,32a\,=\,2a(p\,+\,4)(p\,-\,4)\,$
II)
$\,x^2\,-\,y^2\,-\,2y\,-\,1\,=\,(x\,+\,y\,+\,1)(x\,-\,y\,-\,1)\,$
III)
$\,\dfrac{x^2y^2}{4}\,-\,1\,=\,\left( \dfrac{x\,+\,y}{4}\,+\,1\right)\left( \dfrac{yx}{4}\,-\,1\right)\,$
IV)
$\,2(x\,-\,y)^3\,+\,x^3\,-\,y^3\,=\,3(x\,+\,y)(x^2\,-\,xy\,+\,y^2)\,$
V)
$\,x^{2m}\,-\,y^4\,=\,(x^m\,-\,y^2)(y^m\,-\,y)^2\,$
