# How do you factor #125e^3-27f^3#?

##### 2 Answers

#### Explanation:

#"this is a "color(blue)"difference of cubes"#

#•color(white)(x)a^3-b^3=(a-b)(a^2+ab+b^2)#

#125e^3=(5e)^3rArra=5e#

#27f^3=(3f)^3rArrb=3f#

#=(5e-3f)((5e)^2+5e*3f+(3f)^2)#

#=(5e-3f)(25e^2+15ef+9f^2)#

Jul 30, 2018

#### Explanation:

What we have is a difference of cubes, which factors as follows:

We have the following:

Simplifying these, we get

Hope this helps!