Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
(((y-y)/(3*y-3))+(1/(y-1)))/(y+1)/3
(a^7*a)^2/(-a)^15
-1+x/(x^2-2*x+2)+(x^2+3*x+2)/(x^2-x+2)
45*x*y^2/(75*y^2)
Factor polynomial:
c^2-9
x^2-25
e^x+5/x
z^3+z-10
Least common denominator:
((z^2+1)^2/(4*z^2))/(13+12*((z^2+1)/2*z*z))
-z/1-z/2
y/(y+3)+y/3+2/y
y/(y-3)+3/(3-y)
Factor squared:
-y^4+8*y^2+9
-y^4+8*y^2-4
-y^4-y^2-2
y^4+8*y^2-4
Least common denominator:
(((y-y)/(3*y-3))+(1/(y-1)))/(y+1)/3
Identical expressions
(((y-y)/(three *y- three))+(one /(y- one)))/(y+ one)/ three
(((y minus y) divide by (3 multiply by y minus 3)) plus (1 divide by (y minus 1))) divide by (y plus 1) divide by 3
(((y minus y) divide by (three multiply by y minus three)) plus (one divide by (y minus one))) divide by (y plus one) divide by three
(((y-y)/(3y-3))+(1/(y-1)))/(y+1)/3
y-y/3y-3+1/y-1/y+1/3
(((y-y) divide by (3*y-3))+(1 divide by (y-1))) divide by (y+1) divide by 3
Similar expressions
(((y-y)/(3*y+3))+(1/(y-1)))/(y+1)/3
(((y+y)/(3*y-3))+(1/(y-1)))/(y+1)/3
(((y-y)/(3*y-3))+(1/(y-1)))/(y-1)/3
(((y-y)/(3*y-3))-(1/(y-1)))/(y+1)/3
(((y-y)/(3*y-3))+(1/(y+1)))/(y+1)/3

How do you (((y-y)/(3*y-3))+(1/(y-1)))/(y+1)/3 in partial fractions?

You have entered [src]

/ y - y      1  \
|------- + -----|
|3*y - 3   y - 1|
|---------------|
\     y + 1     /
-----------------
        3

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

(((y - y)/(3*y - 3) + 1/(y - 1))/(y + 1))/3

Fraction decomposition [src]

-1/(6*(1 + y)) + 1/(6*(-1 + y))

$$- \frac{1}{6 \left(y + 1\right)} + \frac{1}{6 \left(y - 1\right)}$$

      1           1     
- --------- + ----------
  6*(1 + y)   6*(-1 + y)

General simplification [src]

     1     
-----------
  /      2\
3*\-1 + y /

$$\frac{1}{3 \left(y^{2} - 1\right)}$$

1/(3*(-1 + y^2))

Common denominator [src]

    1    
---------
        2
-3 + 3*y

$$\frac{1}{3 y^{2} - 3}$$

1/(-3 + 3*y^2)

Trigonometric part [src]

        1         
------------------
3*(1 + y)*(-1 + y)