Divide:
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Answer:
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Most people learn the factorization of x%5EN-y%5EN%29.
But if you forget you can divide that problem out using long division:
x4 + x3y + x2y2 + xy3 + y4
---------------------------------------
x - y ) x5 + 0x4y + 0x3y2 + 0x2y3 + 0xy4 - y5
x5 - x4y
---------
x4y + 0x3y2
x4y - x3y2
-----------
x3y2 + 0x2y3
x3y2 - x2y3
------------
x2y3 + 0xy4
x2y3 - xy4
-----------
xy4 - y5
xy4 - y5
--------
0
So the answer is
x4 + x3y + x2y2 + xy3 + y4