Mister Exam

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How to use it?
Factor polynomial:
x^4-81
x^4-1
y^3+y^2
z^2-20*z+104
Least common denominator:
sin(2*pi+x)+((3*pi)/2-x)+cos(x+pi/2)
-x/10-10*(x/10)^2/2
((x*x^(1/2)-x)^3)/((((x^(3/4)-1)/(x^(1/4)-1)-x^(1/2))*(1-x))^3)
x^4/4+x+2+x^4/4+x+2
Factor squared:
y^4+y^2+7
5*p^4-3*p^2+13
y^4-y^2-7
-y^4-y^2-8
How do you in partial fractions?:
(z/(z-1))+((z^2-1.0923*z)/(z^2-1.9061*z+0.9277))
p^20/((p^4*p^16))
(e^(3x)+1)/(e^x+1)
((p+3)/(p^2-2p))*((4p-8)/(p+3))
Identical expressions
x^ four - eighty-one
x to the power of 4 minus 81
x to the power of four minus eighty minus one
x4-81
x⁴-81
Similar expressions
x^4+81

Expression simplification/ Factorization polynomials/ x^4-81

Factor polynomial x^4-81

The solution

You have entered [src]

 4     
x  - 81

x^{4} - 81

x^4 - 81

Factorization [src]

(x + 3)*(x - 3)*(x + 3*I)*(x - 3*I)

\left(x - 3\right) \left(x + 3\right) \left(x + 3 i\right) \left(x - 3 i\right)

(((x + 3)*(x - 3))*(x + 3*i))*(x - 3*i)

Numerical answer [src]

-81.0 + x^4

-81.0 + x^4

Combinatorics [src]

                 /     2\
(-3 + x)*(3 + x)*\9 + x /

\left(x - 3\right) \left(x + 3\right) \left(x^{2} + 9\right)

(-3 + x)*(3 + x)*(9 + x^2)