Mister Exam

Factor polynomial y^4-25

An expression to simplify:

The solution

You have entered [src]
 4     
y  - 25
$$y^{4} - 25$$
y^4 - 25
Factorization [src]
/      ___\ /      ___\ /        ___\ /        ___\
\x + \/ 5 /*\x - \/ 5 /*\x + I*\/ 5 /*\x - I*\/ 5 /
$$\left(x - \sqrt{5}\right) \left(x + \sqrt{5}\right) \left(x + \sqrt{5} i\right) \left(x - \sqrt{5} i\right)$$
(((x + sqrt(5))*(x - sqrt(5)))*(x + i*sqrt(5)))*(x - i*sqrt(5))
Combinatorics [src]
/      2\ /     2\
\-5 + y /*\5 + y /
$$\left(y^{2} - 5\right) \left(y^{2} + 5\right)$$
(-5 + y^2)*(5 + y^2)
Numerical answer [src]
-25.0 + y^4
-25.0 + y^4