SOLUTION: x to the 5th power plus y to the 5th power divided by x plus y. Can you please help?

Question 164452: x to the 5th power plus y to the 5th power divided by x plus y. Can you please help?
Found 2 solutions by jim_thompson5910, padmameesala:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Factor the numerator

Highlight the common terms.

Cancel out the common terms

Simplify

So simplifies to

In other words, where
Answer by padmameesala(42) (Show Source): You can put this solution on YOUR website!

x4-x3y+x2y2-xy3+y4
--------------------------------------
x + y ) x5 + y5
x5+x4y (x+y)* x4
----------
-x4y
-x4y - x3y2 (x+y) *-x3y
--------------
x3y2
x3y2+ x2y3 (x+y) *x2y2
---------------
- x2y3
- x2y3- xy4 (x+y)*-xy3
-------------
xy4
xy4+ y5 (x+y) *y4
-----------
0
your answer is x4-x3y+x2y2-xy3+y4
Please note that all the numbers represent the powers
and all the steps product is written on the right side
Hope you will understand this problem
good luck
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