Вправи: 753

753. Розкладіть на множники:

1) a¹² + b⁹ = (a⁴)³ + (b³)³ = (a⁴ + b³)(a⁸ – a⁴b³ + b⁶).

2) x¹⁸ – y²⁷ = (x⁶)³ – (y⁹)³ = (x⁶ – y⁹)(x¹² + x⁶y⁹ + y¹⁸) = (x² – y³)(x⁴ + x²y⁴ + y⁶)(x¹² + x⁶y⁹ + y¹⁸).

3) m⁶n³ – p¹² = (m²n)³ – (p⁴)³ = (m²n – p⁴)(m⁴n² + m²np⁴ + p⁸).

4) a²⁴b³³ + 1 = (a⁸b¹¹)³ + 1³ = (a⁸b¹¹ + 1)(a¹⁶b²² – a⁸b¹¹ + 1).