Question

Factorize (x+1)^6-(x-1)^6

Answer 1

(x + 1)⁶ - (x - 1)⁶

= (x⁶ + 6x⁵ + 15x⁴ + 20x³ + 15x² + 6x + 1 ) - (x⁶ - 6x⁵ +15x⁴ -20x³ + 15x²-6x + 1)

= x⁶ + 6x⁵ + 15x⁴ + 20x³ + 15x² + 6x + 1 - x⁶ + 6x⁵ - 15x⁴ +20x³ -15x² + 6x - 1

= 12x⁵ + 40x³ + 12x

= 4x (3x⁴ + 10x² + 3)

= 4x (x² + 3) (3x² + 1)

Hope it will help you in any way

Answer 2

Answer:

The correct answer is (x+4)(x2-4x+16)(x-1)(x2+x+1)

Step-by-step explanation: