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

##### 1 Answer

Feb 1, 2016

#### Answer:

# ( 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 )#