How do you get the quotient of this.
(x^6+y^6 )÷(x+y)

Question

How do you get the quotient of this.
(x^6+y^6 )÷(x+y)

lgbasallote · Answer

i dont think it's factorable :/ you'll have to go with long division sorry

anonymous · Answer

Ha ha ha..
After a long struggle you wrote this??

anonymous · Answer

You can get..

lgbasallote · Answer

hmm it's complicated with long division too

moongazer · Answer

What should I do?

anonymous · Answer

See,

$$(x^2)^3 + (y^2)^3 = (x^2+y^2)(x^4 + y^4 - x^2y^2)$$

moongazer · Answer

I got that one. That is from the sum of two cubes.
but what should I do next?

anonymous · Answer

I am not finding any strong way to do that..

But let me go by long division method..

moongazer · Answer

did you got something?

anonymous · Answer

$$\large \color{green}{Quotient = x^5 -x^4y + x^3y^2-x^2y^3 + xy^4 - y^5}$$

And,

$$\large \color{blue}{Remainder = 2y^6}$$

anonymous · Answer

I found this by using Long Division Method..

I think it could be more simpler to solve this if it was:

$x^6 - y^6$

moongazer · Answer

How did you divide it?

anonymous · Answer

It is a long division method..

How can I show you I am not getting..

moongazer · Answer

could you please show me step by step on how did you get the quotient. 
please... :)

moongazer · Answer

@waterineyes

anonymous · Answer

I show you step by step but It may take time..

moongazer · Answer

Thank you :)

moongazer · Answer

I am really confused with this :)

anonymous · Answer

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