Question

DAU COROANA:
Descompuneti in factori primi numarul:
[(991² - 2 * 991 + 1): 990 + 3]² * 37² - [(335² + 2 * 335 + ): 336 - 5²]²

Answer 1

[(991² - 2 * 991 + 1): 990 + 3]² * 37² - [(335² + 2 * 335 + 1): 336 - 5²]² =
=[(991 - 1)²: 990 + 3]² * 37² - [(335 + 1)²: 336 - 5²]² =
=(990²: 990 + 3)² * 37² - (336²: 336 - 5²)² =
=(990 + 3)² * 37² - (336 - 25)² =
=993² * 37² - 311² =
=(993*37-311)(993*37+311)=
=36430*37052=2*5*3643*2²*59*157=2³*5*59*157*3643