soluzione
Scomporre
(4x - 4y)(2x + 3y) - (x - y)
2
- 4x
2
+ 4y
2
=
= 4(x - y)(2x + 3y) - (x - y)
2
- 4(x - y)(x + y) =
= (x - y)[4(2x + 3y) - (x - y) - 4(x + y)] =
= (x - y)[8x + 12y - x + y - 4x - 4y] =
=(x - y)(3x + 9y) =
= 3 (x - y)(x + 3y)