Mister Exam
Other calculators
-
How to use it?
- Factor polynomial:
- a*m^2+b*m^2-c*n-b*n+c*m^2-a*n
- x^3+64
- x1*x2+x1^2*x3^2+x2*x3
- 49-m^2
- Least common denominator:
- (z^5-5*z^3+10*z-1/10*z+1/5*z^3-1/z^5)*(z^3-3*z+1/3*z-1/z^3)
- ((x^3+y^3)/(x+y))/(x^2-y^2)+(2*y)/(x+y)-(x*y)/(x^2-y^2)
- (y/x-y+x/x+y)/(1/x2/y2)
- ((x*x^(1/2)-x)^3)/(((x^(3/4)-1)/(x^(1/4)-1)-x^(1/2))*(1-x))^3
- Factor squared:
- 2*p^4+p^2-2
- -y^4-14*y^2-2
- x^2-9*x-5
- 2*p^2+3*p-2
- How do you in partial fractions?:
- ((p+3)/(p^2-2p))*((4p-8)/(p+3))
- (a^-2-a/a^-1-1)/(a^2+1)
- 6/(c-1)-10/(((c-1)^2)*10*(c^2))-1-2*c+2/c-1
- (t^4+9)/(t^4+9t^2)
-
Identical expressions
- six /(c- one)- ten /(((c- one)^ two)* ten *(c^ two))- one - two *c+ two /c- one
- 6 divide by (c minus 1) minus 10 divide by (((c minus 1) squared ) multiply by 10 multiply by (c squared )) minus 1 minus 2 multiply by c plus 2 divide by c minus 1
- six divide by (c minus one) minus ten divide by (((c minus one) to the power of two) multiply by ten multiply by (c to the power of two)) minus one minus two multiply by c plus two divide by c minus one
- 6/(c-1)-10/(((c-1)2)*10*(c2))-1-2*c+2/c-1
- 6/c-1-10/c-12*10*c2-1-2*c+2/c-1
- 6/(c-1)-10/(((c-1)²)*10*(c²))-1-2*c+2/c-1
- 6/(c-1)-10/(((c-1) to the power of 2)*10*(c to the power of 2))-1-2*c+2/c-1
- 6/(c-1)-10/(((c-1)^2)10(c^2))-1-2c+2/c-1
- 6/(c-1)-10/(((c-1)2)10(c2))-1-2c+2/c-1
- 6/c-1-10/c-1210c2-1-2c+2/c-1
- 6/c-1-10/c-1^210c^2-1-2c+2/c-1
- 6 divide by (c-1)-10 divide by (((c-1)^2)*10*(c^2))-1-2*c+2 divide by c-1
-
Similar expressions
- 6/(c-1)-10/(((c-1)^2)*10*(c^2))+1-2*c+2/c-1
- 6/(c-1)-10/(((c-1)^2)*10*(c^2))-1+2*c+2/c-1
- 6/(c-1)-10/(((c+1)^2)*10*(c^2))-1-2*c+2/c-1
- 6/(c-1)-10/(((c-1)^2)*10*(c^2))-1-2*c-2/c-1
- 6/(c-1)-10/(((c-1)^2)*10*(c^2))-1-2*c+2/c+1
- 6/(c+1)-10/(((c-1)^2)*10*(c^2))-1-2*c+2/c-1
- 6/(c-1)+10/(((c-1)^2)*10*(c^2))-1-2*c+2/c-1
Expression simplification/
Fraction Decomposition into the simple/
6/(c-1)-10/(((c-1)^2)*10*(c^2))-1-2*c+2/c-1
How do you 6/(c-1)-10/(((c-1)^2)*10*(c^2))-1-2*c+2/c-1 in partial fractions?
The solution
You have entered
[src]
6 10 2
----- - -------------- - 1 - 2*c + - - 1
c - 1 2 2 c
(c - 1) *10*c
$$\left(\left(- 2 c + \left(\left(\frac{6}{c - 1} - \frac{10}{c^{2} \cdot 10 \left(c - 1\right)^{2}}\right) - 1\right)\right) + \frac{2}{c}\right) - 1$$
6/(c - 1) - 10*1/(10*c^2*(c - 1)^2) - 1 - 2*c + 2/c - 1
Fraction decomposition
[src]
-2 - 1/c^2 - 1/(-1 + c)^2 - 2*c + 8/(-1 + c)
$$- 2 c - 2 + \frac{8}{c - 1} - \frac{1}{\left(c - 1\right)^{2}} - \frac{1}{c^{2}}$$
1 1 8
-2 - -- - --------- - 2*c + ------
2 2 -1 + c
c (-1 + c)
General simplification
[src]
2 5 4 3
-1 - 12*c - 2*c + 2*c + 2*c + 10*c
--------------------------------------
2 / 2 \
c *\1 + c - 2*c/
$$\frac{- 2 c^{5} + 2 c^{4} + 10 c^{3} - 12 c^{2} + 2 c - 1}{c^{2} \left(c^{2} - 2 c + 1\right)}$$
(-1 - 12*c^2 - 2*c^5 + 2*c + 2*c^4 + 10*c^3)/(c^2*(1 + c^2 - 2*c))
Numerical answer
[src]
-2.0 + 2.0/c + 6.0/(-1.0 + c) - 2.0*c - 1.0/(c^2*(-1.0 + c)^2)
-2.0 + 2.0/c + 6.0/(-1.0 + c) - 2.0*c - 1.0/(c^2*(-1.0 + c)^2)
Common denominator
[src]
2 3
-1 - 10*c + 2*c + 8*c
-2 - 2*c + -----------------------
2 4 3
c + c - 2*c
$$- 2 c - 2 + \frac{8 c^{3} - 10 c^{2} + 2 c - 1}{c^{4} - 2 c^{3} + c^{2}}$$
-2 - 2*c + (-1 - 10*c^2 + 2*c + 8*c^3)/(c^2 + c^4 - 2*c^3)
Powers
[src]
2 6 1
-2 - 2*c + - + ------ - ------------
c -1 + c 2 2
c *(-1 + c)
$$- 2 c - 2 + \frac{6}{c - 1} + \frac{2}{c} - \frac{1}{c^{2} \left(c - 1\right)^{2}}$$
-2 - 2*c + 2/c + 6/(-1 + c) - 1/(c^2*(-1 + c)^2)
Assemble expression
[src]
2 6 1
-2 - 2*c + - + ------ - ------------
c -1 + c 2 2
c *(-1 + c)
$$- 2 c - 2 + \frac{6}{c - 1} + \frac{2}{c} - \frac{1}{c^{2} \left(c - 1\right)^{2}}$$
-2 - 2*c + 2/c + 6/(-1 + c) - 1/(c^2*(-1 + c)^2)
Combinatorics
[src]
/ 3 4 5 2\
-\1 - 10*c - 2*c - 2*c + 2*c + 12*c /
-----------------------------------------
2 2
c *(-1 + c)
$$- \frac{2 c^{5} - 2 c^{4} - 10 c^{3} + 12 c^{2} - 2 c + 1}{c^{2} \left(c - 1\right)^{2}}$$
-(1 - 10*c^3 - 2*c - 2*c^4 + 2*c^5 + 12*c^2)/(c^2*(-1 + c)^2)
Combining rational expressions
[src]
2 2 3 2 2 2
-1 - 2*c *(-1 + c) - 2*c *(-1 + c) + 2*c*(-1 + c) + 6*c *(-1 + c)
--------------------------------------------------------------------
2 2
c *(-1 + c)
$$\frac{- 2 c^{3} \left(c - 1\right)^{2} - 2 c^{2} \left(c - 1\right)^{2} + 6 c^{2} \left(c - 1\right) + 2 c \left(c - 1\right)^{2} - 1}{c^{2} \left(c - 1\right)^{2}}$$
(-1 - 2*c^2*(-1 + c)^2 - 2*c^3*(-1 + c)^2 + 2*c*(-1 + c)^2 + 6*c^2*(-1 + c))/(c^2*(-1 + c)^2)
Trigonometric part
[src]
2 6 1
-2 - 2*c + - + ------ - ------------
c -1 + c 2 2
c *(-1 + c)
$$- 2 c - 2 + \frac{6}{c - 1} + \frac{2}{c} - \frac{1}{c^{2} \left(c - 1\right)^{2}}$$
-2 - 2*c + 2/c + 6/(-1 + c) - 1/(c^2*(-1 + c)^2)
Rational denominator
[src]
2 3 3 4 3 2 3 3 2
- 10*c + 10*c - 20*c *(-1 + c) - 20*c *(-1 + c) + 20*c *(-1 + c) + 60*c *(-1 + c)
--------------------------------------------------------------------------------------
3 3
10*c *(-1 + c)
$$\frac{- 20 c^{4} \left(c - 1\right)^{3} - 20 c^{3} \left(c - 1\right)^{3} + 60 c^{3} \left(c - 1\right)^{2} + 20 c^{2} \left(c - 1\right)^{3} - 10 c^{2} + 10 c}{10 c^{3} \left(c - 1\right)^{3}}$$
(-10*c^2 + 10*c - 20*c^3*(-1 + c)^3 - 20*c^4*(-1 + c)^3 + 20*c^2*(-1 + c)^3 + 60*c^3*(-1 + c)^2)/(10*c^3*(-1 + c)^3)