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Expression simplification/ Factorization polynomials/ x^4+y^4+y^4

Factor polynomial x^4+y^4+y^4

An expression to simplify:

The solution

You have entered [src] 
 4    4    4
x  + y  + y
$$y^{4} + \left(x^{4} + y^{4}\right)$$ 
x^4 + y^4 + y^4
Factorization [src] 
/      /   3/4      3/4\\ /      /   3/4      3/4\\ /      / 3/4      3/4\\ /      / 3/4      3/4\\
|      |  2      I*2   || |      |  2      I*2   || |      |2      I*2   || |      |2      I*2   ||
|x - y*|- ---- - ------||*|x - y*|- ---- + ------||*|x - y*|---- - ------||*|x - y*|---- + ------||
\      \   2       2   // \      \   2       2   // \      \ 2       2   // \      \ 2       2   //
$$\left(x - y \left(- \frac{2^{\frac{3}{4}}}{2} - \frac{2^{\frac{3}{4}} i}{2}\right)\right) \left(x - y \left(- \frac{2^{\frac{3}{4}}}{2} + \frac{2^{\frac{3}{4}} i}{2}\right)\right) \left(x - y \left(\frac{2^{\frac{3}{4}}}{2} - \frac{2^{\frac{3}{4}} i}{2}\right)\right) \left(x - y \left(\frac{2^{\frac{3}{4}}}{2} + \frac{2^{\frac{3}{4}} i}{2}\right)\right)$$ 
(((x - y*(-2^(3/4)/2 - i*2^(3/4)/2))*(x - y*(-2^(3/4)/2 + i*2^(3/4)/2)))*(x - y*(2^(3/4)/2 - i*2^(3/4)/2)))*(x - y*(2^(3/4)/2 + i*2^(3/4)/2))
General simplification [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
Numerical answer [src] 
x^4 + 2*y^4
x^4 + 2*y^4
Powers [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
Common denominator [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
Combining rational expressions [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
Rational denominator [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
Combinatorics [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
Assemble expression [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
Trigonometric part [src] 
 4      4
x  + 2*y
$$x^{4} + 2 y^{4}$$ 
x^4 + 2*y^4
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