Вправи: 557

557. 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)(5b^2– 11a³) = (5b²)² – (11a³)² = 25b⁴ – 121a⁶;

7) (7 – xy)(7 + xy) = 7² – (xy)² = 49 – x²y²;

8) (8a³b – 13ab²)(8a³b + 13ab²) = (8a³b)² – (13ab²)² = 64a^6b2 – 19a^2b4;