SOLUTION: Hi I would like to know if the sum of squares (x^2 +y^2) can be factored? Thank you for your time.

Question 164540: Hi I would like to know if the sum of squares (x^2 +y^2) can be factored? Thank you for your time.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
It cannot be factored over the real numbers, but if you include complex numbers in the mix, then you can factor

In this case, factors to . This is almost identical to the difference of squares but with an added "i" term.

If you have never heard of complex numbers or the "i" term, then the answer is you cannot factor .
RELATED QUESTIONS
okay so imagine there are different types of squares making one big rectangle where would (answered by lynnlo)

The sum of two of the numbers is six. The sum of the squares of the two numbers is... (answered by Alan3354)

I am working a problem and need to know tif either x-3x-16 or x^2-x-12 can be factored??... (answered by stanbon)

Urgent Question! Please help as soon as possibl. Due soon! Thanks! QUESTION~ A... (answered by ankor@dixie-net.com)

It is possible to factor x^2 - y^2 by the technique of adding in an extra term, and... (answered by ikleyn)

I need to know if x^2-9x-10,000=0 can be factored. And what would it be factored into?... (answered by psbhowmick,solver91311)

Hi! I appreciate your help! Just need to know if I am correct. THank you. Subtract... (answered by solver91311)

Hi! Thank you so much for your time! Can you help me to find the intersection of the... (answered by Alan3354)

Hi I would like some help in solving to find the x and y intercepts of the equation:... (answered by solver91311)