Question

Factorise (x + 1)^2 - 1 . Show full working and follow factorisation rules.​

Answer 1

Answer:

x =-2

refer the attachment

Answer 2

(x + 1)² - 1

= (x + 1)² - 1² { Because 1² = 1 }

= [ (x + 1) - 1 ] × [ (x + 1) + 1 ]

{ By using the identity : x² - y² = (x - y) (x + y) }

= ( x + 1 - 1 ) ( x + 1 + 1 )

{ Opening the parentheses inside the square brackets }

= ( x + 0 ) ( x + 2 ) { Evaluating }

= x ( x + 2 ) (Ans)

Answer =

Therefore, the factors of ( x + 1 )² - 1 are x and ( x + 2 )