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# factor each polynomial completely.27x^3-y^3

### Resolved Question:

factor each polynomial completely.27x^3-y^3
Submitted: 5 years ago.
Category: General
Expert:  Scott replied 5 years ago.

Hi there!

This is a "difference of cubes".

If you have a^3 - b^3, you factor it as:

(a - b)(a^2 + ab + b^2)

In this problem, a = 3x, b = y, so:

(3x-y)(9x^2 + 3xy + y^2)

Let me know if you have any questions,

Scott

Category: General
Satisfied Customers: 17710
Experience: MIT Graduate, United States Traveler, Information Finder

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