Mister Exam

Other calculators

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

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

An expression to simplify:

The solution

You have entered [src] 
 4    4    4
x  + y  + x
$$x^{4} + \left(x^{4} + y^{4}\right)$$ 
x^4 + y^4 + x^4
General simplification [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
Factorization [src] 
/      /  4 ___     4 ___\\ /      /  4 ___     4 ___\\ /      /4 ___     4 ___\\ /      /4 ___     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   //
$$\left(x - y \left(- \frac{\sqrt[4]{2}}{2} - \frac{\sqrt[4]{2} i}{2}\right)\right) \left(x - y \left(- \frac{\sqrt[4]{2}}{2} + \frac{\sqrt[4]{2} i}{2}\right)\right) \left(x - y \left(\frac{\sqrt[4]{2}}{2} - \frac{\sqrt[4]{2} i}{2}\right)\right) \left(x - y \left(\frac{\sqrt[4]{2}}{2} + \frac{\sqrt[4]{2} i}{2}\right)\right)$$ 
(((x - y*(-2^(1/4)/2 - i*2^(1/4)/2))*(x - y*(-2^(1/4)/2 + i*2^(1/4)/2)))*(x - y*(2^(1/4)/2 - i*2^(1/4)/2)))*(x - y*(2^(1/4)/2 + i*2^(1/4)/2))
Combining rational expressions [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
Trigonometric part [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
Numerical answer [src] 
y^4 + 2*x^4
y^4 + 2*x^4
Combinatorics [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
Rational denominator [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
Common denominator [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
Assemble expression [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
Powers [src] 
 4      4
y  + 2*x
$$2 x^{4} + y^{4}$$ 
y^4 + 2*x^4
    © Mister Exam – Calculator