Factorise: x9 - y9 - Vidyadip

Question

Factorise:
x⁹ - y⁹

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Answer

x⁹ - y⁹
= (x³)³ - (y³)³
= [(x³ - y³)][(x³)² + x³y³ + (y³)²]
= [(x - y)(x² + xy + y²)(x⁶ + x³y³ + y⁶)

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