852+832+812+792+772-(842+822+802+782+762)
=852+832+812+792+772-842-822-802-782-762
=(852-842)+(832-822)+(812-802)+(792-782)+(772-762)
=(85-84)(85+84)+(83-82)(83+82)+(81-80)(81+80)+(79-78)(79+78)+(77-76)(77+76)
=85+84+83+...+77+76
=\(\frac{\left(85+76\right).\left(85-76+1\right)}{2}=805\)