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ГДЗ Алгебра 7 клас Мерзляк (2024)
§ 1. Алгебраїчні вирази
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Виконайте множення:
1) (a2 – 3)(a2 + 3) = (a2)2 – 32 = a4 – 9;
2) (5 + b2)(b2 – 5) = (b2 + 5)(b2 – 5) = (b2)2 – 52 = b4 – 25;
3) (3x – 2у2)(3х + 2y2) = (3x)2 – (2y2)2 = 9x2 – 4y4;
4) (10p3 – 7k)(10p3 + 7k) = (10p3)2 – (7k)2 = 100p6 – 49k2;
5) (4x2 – 8y3)(4x2 + 8y3) = (4x2)2 – (8y3)2 = 16x4 – 64y6;
6) (11a3 + 5b2)(5b2 – 11a3) = (5b2 + 11a3)(5b2– 11a3) = (5b2)2 – (11a3)2 = 25b4 – 121a6;
7) (7 – xy)(7 + xy) = 72 – (xy)2 = 49 – x2y2;
8) (8a3b – 1/3ab2)(8a3b + 1/3ab2) = (8a3b)2 – (1/3ab2)2 = 64a6b2 – 1/9a2b4;
1) (a2 – 3)(a2 + 3) = (a2)2 – 32 = a4 – 9;
2) (5 + b2)(b2 – 5) = (b2 + 5)(b2 – 5) = (b2)2 – 52 = b4 – 25;
3) (3x – 2у2)(3х + 2y2) = (3x)2 – (2y2)2 = 9x2 – 4y4;
4) (10p3 – 7k)(10p3 + 7k) = (10p3)2 – (7k)2 = 100p6 – 49k2;
5) (4x2 – 8y3)(4x2 + 8y3) = (4x2)2 – (8y3)2 = 16x4 – 64y6;
6) (11a3 + 5b2)(5b2 – 11a3) = (5b2 + 11a3)(5b2– 11a3) = (5b2)2 – (11a3)2 = 25b4 – 121a6;
7) (7 – xy)(7 + xy) = 72 – (xy)2 = 49 – x2y2;
8) (8a3b – 1/3ab2)(8a3b + 1/3ab2) = (8a3b)2 – (1/3ab2)2 = 64a6b2 – 1/9a2b4;