Question

x³ – x =? 

A. x(x² – x) 

B. x(x – x²) 

C. x(1 + x) (1 – x) 

D. x(x + 1) (1 – x)

Answer 1

x³ – x = x(x² – 1) (taking x as common from whole) 

= x(x – 1)(x + 1) \(\because\) a² – b² = (a – b)(a + b)