-2ab[(5a^2-13a-12)-(4a^2-9a-16)-(a-2)alla seconda] - 1/2(2a^2-4)=
-2ab[(5a^2-13a-12)-(4a^2-9a-16)-(a-2)alla seconda] - 1/2(2a^2-4)=
$-2ab[(5a^2 -13a -12)-(4a^2 -9a -16)-(a -2)^2] -\frac{1}{2}(2a^2-4)$ =
= $-2ab[5a^2-13a-12-4a^2+9a+16-(a^2-4a+4)]-a^2+2$ =
= $-2ab[a^2-4a+4-a^2+4a-4]-a^2+2$ =
= $-2ab[0]-a^2+2$ =
= $ 0-a^2+2$ =
= $-a^2+2$