Question

Que.6 Simplify:

(x-1)(x²+2x+1)(x+1)(x²-2x+1)​

Answer 1

Step-by-step explanation:

(x-1)(x+1)(x²+1+2x)(x²+1-2x)

by the identity a²-b² = (a-b)(a+b):

(x²-1)((x²+1)²-4x²)

now,

(x²-1)(x²+1)² - 4x²(x²-1)

(x²-1)(x²+1)(x²+1) - 4x²(x²-1)

(x⁴-1)(x²+1) - 4x²(x²-1)

x⁴x² - x² + x⁴ -1 - 4x⁴ +4x²

x⁴x² -3x⁴ +3x² -1

I m not sure about the answer so u can recheck it.