вправа 439 гдз 7 клас алгебра Бевз

 
Вправа 439

а) 112 = (10 + 1)2 = 102 + 2 • 10 • 1 + 12 = 121;
б) 992 = (100 - 1)2 = 1002 - 2 • 100 • 1 + 12 = 10000 - 200 + 1 = 9801;
в) 1012 = (100 + 1)2 = 1002 + 2 • 100 • 1 + 12 = 10000 + 200 + 1 = 10201;
г) 2022 = (200 + 2)2 = 2002 + 2 • 200 • 2 + 4 = 40000 + 800 = 40804;
ґ) 522 = (50 + 2)2 = 502 + 2 • 50 • 2 + 4 = 2500 + 200 + 4 = 2704;
д) 612 = (60 + 1)2 = 602 + 60 • 1 • 2 + 12 = 3600 + 120 + 1 = 3701;
е) 792 = (80 - 1)2 = 802 - 2 • 80 • 1 + 12 = 6400 - 160 + 1 = 6241;
є) 812 = (80 + 1)2 = 6400 + 160 + 1 = 6561.