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Factor polynomial y^2+x^2+y^2+x^2

An expression to simplify:

The solution

You have entered [src]
 2    2    2    2
y  + x  + y  + x 
$$x^{2} + \left(y^{2} + \left(x^{2} + y^{2}\right)\right)$$
y^2 + x^2 + y^2 + x^2
General simplification [src]
   2      2
2*x  + 2*y 
$$2 x^{2} + 2 y^{2}$$
2*x^2 + 2*y^2
Factorization [src]
(x + I*y)*(x - I*y)
$$\left(x - i y\right) \left(x + i y\right)$$
(x + i*y)*(x - i*y)
Numerical answer [src]
2*x^2 + 2*y^2
2*x^2 + 2*y^2
Rational denominator [src]
   2      2
2*x  + 2*y 
$$2 x^{2} + 2 y^{2}$$
2*x^2 + 2*y^2
Combinatorics [src]
   2      2
2*x  + 2*y 
$$2 x^{2} + 2 y^{2}$$
2*x^2 + 2*y^2
Combining rational expressions [src]
  / 2    2\
2*\x  + y /
$$2 \left(x^{2} + y^{2}\right)$$
2*(x^2 + y^2)
Common denominator [src]
   2      2
2*x  + 2*y 
$$2 x^{2} + 2 y^{2}$$
2*x^2 + 2*y^2
Assemble expression [src]
   2      2
2*x  + 2*y 
$$2 x^{2} + 2 y^{2}$$
2*x^2 + 2*y^2
Powers [src]
   2      2
2*x  + 2*y 
$$2 x^{2} + 2 y^{2}$$
2*x^2 + 2*y^2
Trigonometric part [src]
   2      2
2*x  + 2*y 
$$2 x^{2} + 2 y^{2}$$
2*x^2 + 2*y^2