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Scott, MIT Graduate
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factor each polynomial completely.27x^3-y^3

Resolved Question:

factor each polynomial completely.27x^3-y^3
Submitted: 8 years ago.
Category: General
Expert:  Scott replied 8 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

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