SOLUTION: I don't understand how to divide this polynomial can you please help me? (8x^3 +27) / (2x +3)

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Question 134536: I don't understand how to divide this polynomial can you please help me?
(8x^3 +27) / (2x +3)
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given: %288x%5E3+%2B27%29+%2F+%282x+%2B3%29
The numerator can be factored as the sum of perfect cubes
a%5E3+%2B+b%5E3+=+%28a+%2B+b%29%28a%5E2+-+ab+%2B+b%5E2%29
For this case, a = 2x, b = 3
Thus:
%288x%5E3+%2B27%29+%2F+%282x+%2B3%29
%28%282x%2B3%29%284a%5E2+-+6x+%2B+9%29%29%2F%282x%2B3%29
as long as (2x+3) != 0
%284a%5E2+-+6x+%2B+9%29
make sense?