Mister Exam

Lang:

How to use it?
Factor polynomial:
x^6-x^4*y^2-x^3+x^2*y
x^6-x^4-x^2+1
x^2-4
y^3+y
Least common denominator:
(z/40+1/20)*(z/40+4/5)*z
y/(y+2)+(1/(4-y^2)-1/(4-4*y+y^2))/(2/(y-2)^2)
|x-3|/x-3+|x+1|/x+1
tan(x)+tan(y)/tan(x+y)+tan(x)-tan(y)/tan(x-y)
Factor squared:
-y^4-y^2+1
y^4-y^2+1
-y^4+y^2-10
2*x^2-3*x+5
How do you in partial fractions?:
(x^2+3*x-4)/(x+4)
2*a*(3*a-p)/(2*p-6*a)
(x^2-4)/(x+2)
sqrt((l1-v1*((v1*l1+v2*l2)/(v2^2+v1^2)))^2+(l2-v2*((v1*l1+v2*l2)/(v2^2+v1^2)))^2)
Identical expressions
x^ six -x^ four -x^ two + one
x to the power of 6 minus x to the power of 4 minus x squared plus 1
x to the power of six minus x to the power of four minus x to the power of two plus one
x6-x4-x2+1
x⁶-x⁴-x²+1
x to the power of 6-x to the power of 4-x to the power of 2+1
Similar expressions
x^6-x^4-x^2-1
x^6-x^4+x^2+1
x^6+x^4-x^2+1

Factor polynomial x^6-x^4-x^2+1

You have entered [src]

 6    4    2    
x  - x  - x  + 1

$$\left(- x^{2} + \left(x^{6} - x^{4}\right)\right) + 1$$

x^6 - x^4 - x^2 + 1

Factorization [src]

(x + 1)*(x - 1)*(x + I)*(x - I)

$$\left(x - 1\right) \left(x + 1\right) \left(x + i\right) \left(x - i\right)$$

(((x + 1)*(x - 1))*(x + i))*(x - i)

General simplification [src]

     6    2    4
1 + x  - x  - x

$$x^{6} - x^{4} - x^{2} + 1$$

1 + x^6 - x^2 - x^4

Assemble expression [src]

     6    2    4
1 + x  - x  - x

$$x^{6} - x^{4} - x^{2} + 1$$

1 + x^6 - x^2 - x^4

Powers [src]

     6    2    4
1 + x  - x  - x

$$x^{6} - x^{4} - x^{2} + 1$$

1 + x^6 - x^2 - x^4

Trigonometric part [src]

     6    2    4
1 + x  - x  - x

$$x^{6} - x^{4} - x^{2} + 1$$

1 + x^6 - x^2 - x^4

Common denominator [src]

     6    2    4
1 + x  - x  - x

$$x^{6} - x^{4} - x^{2} + 1$$

1 + x^6 - x^2 - x^4

Rational denominator [src]

     6    2    4
1 + x  - x  - x

$$x^{6} - x^{4} - x^{2} + 1$$

1 + x^6 - x^2 - x^4

Numerical answer [src]

1.0 + x^6 - x^2 - x^4

1.0 + x^6 - x^2 - x^4

Combining rational expressions [src]

     2 /      2 /      2\\
1 + x *\-1 + x *\-1 + x //

$$x^{2} \left(x^{2} \left(x^{2} - 1\right) - 1\right) + 1$$

1 + x^2*(-1 + x^2*(-1 + x^2))

Combinatorics [src]

       2         2 /     2\
(1 + x) *(-1 + x) *\1 + x /

$$\left(x - 1\right)^{2} \left(x + 1\right)^{2} \left(x^{2} + 1\right)$$

(1 + x)^2*(-1 + x)^2*(1 + x^2)