A few days ago
mr j

i need help factoring 8a³-27…..?

i’ve been working on this one for a long time and just can’t find an answer. if you could tell me step by step how it can be done, that would be great.

Top 2 Answers
A few days ago
Marley K

Favorite Answer

This is the difference of two cubes which has its own special pattern: a^3 – b^3 = (a-b)(a^2 + ab + b^2)

In this instance, your “a” is (2a) and your “b” is 3. Therefore, it looks like this:

(2a)^3 – (3)^3 = (2a-3)(4a^2 + 6a + 9)

that’s it! 🙂


A few days ago
I’ll get you started…Look at each term separately first.

Does 8 have a cube root? What can you cube to get 8? How about 2 * 2 * 2?

a^3 should be obvious

What about 27? What factor can you cube to get 27?