SOLUTION: Simplify by dividing x^3+2x+3x-6/x-1 n^3-27/n-3

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Question 123668This question is from textbook Structure and Method Book 1
: Simplify by dividing
x^3+2x+3x-6/x-1
n^3-27/n-3




This question is from textbook Structure and Method Book 1

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:
%28x%5E3%2B2x%5E2%2B3x-6%29%2F%28x-1%29
%28n%5E3-27%29%2F%28n-3%29


Answer:

%28x%5E3%2B2x%5E2%2B3x-6%29%2F%28x-1%29

Here the denominator can be re-written as,

+%28%28x%5E2+%2B3x+%2B6%29%28x-1%29%29%2F%28x-1%29


==> %28x%5E2+%2B3x+%2B6%29, where (x-1) will get cancelled..
So the simplified answer is, x%5E2+%2B3x+%2B6




%28n%5E3-27%29%2F%28n-3%29

This can be written as, +%28n%5E3+-3%5E3%29%2F%28n-3%29


==> %28n-3%29%28n%5E2+%2B+3n+%2B+9%29%2F%28n-3%29


==> n%5E2+%2B+3n+%2B+9, which is the simplified answer...



Hope you found the explanation useful.



Regards.


Praseena.