Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
(a^7*a)^2/(-a)^15
-2/((((x+1)^2/(1-x)^2)+1)*(1-x)^2)
(x^2-6)/(x-3)-x/(x-3)
(1-x/(1+x))/(1+x)^3
Factor polynomial:
z^3-z^2-5*z+125
z^3+i^3
z^3+8*i
z^3+8
Least common denominator:
(z^2-2*t+2*t1+exp(t1/t)*(2*t-z^2))*(z^2-2*t+2*t2+exp(t2/t)*(2*t-z^2))
y/(x-y)+x/(y-x)
y/x-(x*y-x^2)/(y-1)*(y-1)/x^2
(y*x^2+16)/((y-1)*(x-4))-(16*y+x^2)/(x*y-x-4*y+4)
Factor squared:
y^4-8*y^2-9
-y^4+8*y^2+9
-y^4+8*y^2-4
y^4+8*y^2+6
Identical expressions
(one -x/(one +x))/(one +x)^ three
(1 minus x divide by (1 plus x)) divide by (1 plus x) cubed
(one minus x divide by (one plus x)) divide by (one plus x) to the power of three
(1-x/(1+x))/(1+x)3
1-x/1+x/1+x3
(1-x/(1+x))/(1+x)³
(1-x/(1+x))/(1+x) to the power of 3
1-x/1+x/1+x^3
(1-x divide by (1+x)) divide by (1+x)^3
Similar expressions
(1-x/(1-x))/(1+x)^3
(1+x/(1+x))/(1+x)^3
(1-x/(1+x))/(1-x)^3

How do you (1-x/(1+x))/(1+x)^3 in partial fractions?

You have entered [src]

      x  
1 - -----
    1 + x
---------
        3
 (1 + x)

$$\frac{- \frac{x}{x + 1} + 1}{\left(x + 1\right)^{3}}$$

(1 - x/(1 + x))/(1 + x)^3

General simplification [src]

   1    
--------
       4
(1 + x)

$$\frac{1}{\left(x + 1\right)^{4}}$$

(1 + x)^(-4)

Fraction decomposition [src]

(1 + x)^(-4)

$$\frac{1}{\left(x + 1\right)^{4}}$$

   1    
--------
       4
(1 + x)

Combinatorics [src]

   1    
--------
       4
(1 + x)

$$\frac{1}{\left(x + 1\right)^{4}}$$

(1 + x)^(-4)

Numerical answer [src]

(1.0 - x/(1.0 + x))/(1.0 + x)^3

(1.0 - x/(1.0 + x))/(1.0 + x)^3

Rational denominator [src]

   1    
--------
       4
(1 + x)

$$\frac{1}{\left(x + 1\right)^{4}}$$

(1 + x)^(-4)

Common denominator [src]

            1             
--------------------------
     4            3      2
1 + x  + 4*x + 4*x  + 6*x

$$\frac{1}{x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1}$$

1/(1 + x^4 + 4*x + 4*x^3 + 6*x^2)

Combining rational expressions [src]

   1    
--------
       4
(1 + x)

$$\frac{1}{\left(x + 1\right)^{4}}$$

(1 + x)^(-4)