Question

(2n-1)^3 - (2n-1)

Answer 1

(2n -1 )³ - ( 2 n - 1) = (2n -1)² (2n-1) - (2n - 1) =(2n - 1) [(2n - 1 )² - 1]

= (2n - 1) [( 2n - 1 - 1) ( 2n - 1+1)]

= ( 2n - 1) (2n - 2) 2n

= 4n (2n - 1) ( n -1)

Answer 2

(2n-1)³-(2n-1)

=> (2n-1)³-(2n-1)¹

=> (2n-1)^3-1

= (2n-1)²