SOLUTION: Factor completely. Use ^ to denote exponents, parentheses and do NOT use spaces. X^3+27

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Factor completely. Use ^ to denote exponents, parentheses and do NOT use spaces. X^3+27      Log On


   

Question 79233: Factor completely. Use ^ to denote exponents, parentheses and do NOT use spaces.
X^3+27
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me factor this binomial completely. Thanks!
x%5E3%2B27 Do you recognise this as the sum of two cubes? %28x%29%5E3%2B%283%29%5E3
The sum of two cubes can be factored as follows:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29
In your problem, A = x and B = 3
X%5E3%2B27+=+%28x%2B3%29%28x%5E2-3x%2B9%29