Factorise x^12  5^12
Math
kashvisingh9c
Question
Factorise x^12  5^12
1 Answer

1. User Answers tushar0007
x¹²  5¹²
= (x^6)²  (5^6)²
= (x^6  5^6)(x^6 + 5^6)
= [(x³)²  (5³)²](x^6 + 5^6)
= (x³  5³)(x³ + 5³)(x^6 + 5^6)
= (x³  5³)(x³ + 5³)[(x²)³  (5²)³]
= (x  5)(x² + 5x + 5²)(x + 5)(x²  5x + 5²)[{x²  5²}{(x²)² + (x²)(5²) + (5²)²}]
= (x  5)(x² + 5x +25)(x + 5)(x²  5x + 25)(x  5)(x + 5)(x⁴ + 25x² + 625).