SOLUTION: how to solve x^3-27 tell me each and every step

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Question 311637: how to solve x^3-27 tell me each and every step
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
You cannot "solve" this -- you can, however, factor it.
If you see:
+x%5E3-27+
This is a "special case" because you can rewrite it as:
+x%5E3-3%5E3+
Now, you have a "difference of cubes". It should automatically bring to mind:
+a%5E3%96b%5E3+=+%28a+%96+b%29%28a%5E2+%2B+ab+%2B+b%5E2%29+
In your case:
a is x
b is 3
giving you:
+x%5E3-3%5E3+=+%28x-3%29%28x%5E2+%2B+3x+%2B+3%5E2%29+
+x%5E3-3%5E3+=+%28x-3%29%28x%5E2+%2B+3x+%2B+9%29+