[(x+p)+(x+q)][(x+p)-(x+q)]
=(x+p)^2-(x+q)^2
=x^2+2px+p^2-x^2-2qx-q^2
=2px+p^2-2qx-q^2
(x^2+y^2)(x^2-y^2)
=(x^2)^2-(y^2)^2
=x^4-y^4
(2x+y)^2-(x+2y)^2
=(2x+y-x-2y)(2x+y+x+2y)
=(x-y)(3x+3y)
=3(x-y)(x+y)
[(x+p)+(x+q)][(x+p)-(x+q)]
=(x+p)^2-(x+q)^2
=x^2+2px+p^2-x^2-2qx-q^2
=2px+p^2-2qx-q^2
(x^2+y^2)(x^2-y^2)
=(x^2)^2-(y^2)^2
=x^4-y^4
(2x+y)^2-(x+2y)^2
=(2x+y-x-2y)(2x+y+x+2y)
=(x-y)(3x+3y)
=3(x-y)(x+y)