Question

How do you factor `y=x^3 + 1000`?

Answer 1

`( x + 10 )( x^2- 10x + 100 )`

Explanation:

This is a sum of cubes and is factorised as follows :

`a^3 + b^3 = (a + b )( a^2 - ab + b^2 )`

in this question a = x and b = 10

`rArr x^3 + 1000 = (x + 10 )(x^2 - 10x + 100 )`