Question

Find the product of the following:
(i) (x + 1) (x - 1) (x2 - 1)​

Answer 1

THE PRODUCT OF THE

1. ( X + 1 ) ( X - 1 ) ( X2 - 1 )

X2= ( X 1+(X) -2(X) -2X(X)

X+1.X-1.X2-1

(x + 1) (x - 1) (x2 - 1)= ( X -3 )...

Answer 2

Answer = x 8-1

(x - 1)(x + 1)(x² + 1)(xª + 1)

Identity Used: (a - b)(a + b) = a² - b² → [(x - 1)(x+1)]

(x² + 1)(x² + 1) Here, a = x, b=1

[ (x)² - (1)² ] (x² + 1)(x² + 1) → (x² − 1)(x² + 1)(x² +

1) → [(x² - 1)(x² + 1)] (x² + 1) Here, a = x², b=1

[ (x²)²-(1)² ] (x² + 1) ➡ (x² - 1)(x² + 1)

Here, a = x¹, b = 1