Вправи: 592

592. Запишіть вираз у вигляді добутку:

1) x⁹ – y⁶ = (x³)³ – (у²)³ = (x³ – y²)(x⁶ + x³y² + y⁴);

2) –p¹² – 27 = –((p⁴)³ + 3³) = –(p⁴ + 3)(p⁸ – 3p⁴ + 9);

3) –a⁹b⁶ + 1 = 1 – (a³b²)³ = (1 – a³b²)(1 + a³b² + a⁶b⁴);

4) 216p¹⁵ + 0,008t¹⁸ = (6p⁵)³ + (0,2t⁶)³ = (6p⁵ + 0,2t⁶)(36p¹⁰ –

– 1,2p⁵t⁶ + 0,04t¹²);

5) 64m²¹c³ – p³⁰ = (4m⁷c)³ – (p¹⁰)³ = (4m⁷c – p¹⁰)(16m¹⁴c² +

+ 4m⁷ср¹⁰ + p²⁰);

6) 512t²⁴p²⁷ – 729a³³ = (8t⁸p⁹)³ – (9a¹¹)³ = (8t⁸p⁹ –9a¹¹) (64t¹⁶p¹⁸ +

+ 72t⁸p⁹a¹¹ + 81a²²).