SOLUTION: What is 8x^3-1 in factor form?

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: What is 8x^3-1 in factor form?      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


Question 32882This question is from textbook Algebra 2
: What is 8x^3-1 in factor form?This question is from textbook Algebra 2

Answer by stanbon(48569) About Me  (Show Source):
You can put this solution on YOUR website!
This form is "the difference of cubes"
It factors this way:
a^3-b^3=(a-b)(a^2+ab+b^2)
In your problem a=2x and b=1
It factors as (2x-1)(4x^2+2x+1)
Cheers,
Stan H.