# How do you simplify # (x+3)^(1/3) - (x+3)^(4/3) #?

##### 1 Answer

Oct 18, 2015

#### Explanation:

You can simplify this expression by using *commonfactor*.

Focusing solely on the exponents, you need to find the relationship between

#1/3 + color(red)(x) = 4/3 implies color(red)(x) = 4/3 - 1/3 = 3/3 = 1#

If you use

#(x+3)^(1/3) * [1 - (x+3)^(3/3)] = (x+3)^(1/3) * [1 - (x+3)^1]#

#=(x+3)^(1/3) * (1 - x - 3)#

# = color(green)(- (x+3)^(1/3) * (x + 2))#