Question

Find the factors of (1-x^3).​

Answer 1

Answer:

This is the answer.

(1-x) (1^2+x^2+x)

Answer 2

Answer:

( 1 - x )  and ( 1 + x^2 + x )

Step-by-step explanation:

( 1 - x^3 )

It can also be written as ( 1^3 - x^3 ).

a^3 - b^3 = ( a - b ) ( a^2 + b^2 + ab )   Identity / formula

Here,

a = 1

b = x

1 - x^3

= 1^3 - x^3

= ( 1 - x ) ( 1^2 + x^2 + 1 ( x ) )

= ( 1 - x ) ( 1 + x^2 + x )

Therefore, the factors of ( 1 - x^3 ) are ( 1 - x )  and ( 1 + x^2 + x ).