Factored Form

Apr 2010
487
9
Hey guys,

I'm having trouble factorising this following:

8x^6 + 64

I've done the following:

8(x^6 + 8)

I'm not sure how to factorise this further. Please provide detailed steps so I can understand. Thank you.
 

Prove It

MHF Helper
Aug 2008
12,897
5,001
Use the sum of two cubes rule

\(\displaystyle a^3 + b^3 = (a + b)(a^2 - ab + b^2)\).


In your case, \(\displaystyle 8(x^6 + 8) = 8[(x^2)^3 + 3^3]\).
 
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Apr 2010
487
9
Thank you so much! I've been struggling with math, and any help is greatly appreciated!