Mister Exam

Lang:

How to use it?
How do you in partial fractions?:
((3x+3y)^3−(3x+y)^3)/(27x^2+36xy+13y^2)
(36x-6)/(36x^2-12x+1)
((9n)/(5m))-((81n^2+25m^2)/(45mn))+((5m-9n)/(9n))
1/(n*(n+1)*(n+2))
Factor polynomial:
1-a+a^2-a^3+a^4-a^5+a^6-a^7+a^8-a^9
x^4+16
3*p3+2*a^210-c^27
m^3+m^2+m+1-m^4-m^3-m^2-m-1
Least common denominator:
(-y*exp(1)/(exp(1)+1)+(1-y)*exp(1)/((1-1/(exp(1)+1))*(exp(1)+1)^2))/m
sqrt(a)-(a-1/a^2)/(sqrt(a)-1/sqrt(a))+(1-1/a^2)/(sqrt(a)+1/(sqrt(a)))+2/a^(3/2)
factorial(n)/factorial(n+1)-(n-1)/factorial(n)
((-k2/p)*(k3/(t3*p+1))+k1*p)*((k5*p)/(1+k3*p*(k3/(t3*p+1))*(k4*(t4*p+1))))
Factor squared:
8*x^4-14*x^2-3
-q^4-4*q^2+5
-a^4-8*a^2-1
-9*p^2-5*p-4
Identical expressions
((three x+ three y)^3−(3x+y)^3)/(two 7x^ two +36xy+13y^2)
((3x plus 3y) cubed −(3x plus y) cubed ) divide by (27x squared plus 36xy plus 13y squared )
((three x plus three y) cubed −(3x plus y) cubed ) divide by (two 7x to the power of two plus 36xy plus 13y squared )
((3x+3y)3−(3x+y)3)/(27x2+36xy+13y2)
3x+3y3−3x+y3/27x2+36xy+13y2
((3x+3y)³−(3x+y)³)/(27x²+36xy+13y²)
((3x+3y) to the power of 3−(3x+y) to the power of 3)/(27x to the power of 2+36xy+13y to the power of 2)
3x+3y^3−3x+y^3/27x^2+36xy+13y^2
((3x+3y)^3−(3x+y)^3) divide by (27x^2+36xy+13y^2)
Similar expressions
((3x+3y)^3−(3x-y)^3)/(27x^2+36xy+13y^2)
((3x+3y)^3−(3x+y)^3)/(27x^2-36xy+13y^2)
((3x+3y)^3−(3x+y)^3)/(27x^2+36xy-13y^2)
((3x-3y)^3−(3x+y)^3)/(27x^2+36xy+13y^2)

How do you ((3x+3y)^3−(3x+y)^3)/(27x^2+36xy+13y^2) in partial fractions?

You have entered [src]

           3            3
(3*x + 3*y)  - (3*x + y) 
-------------------------
      2                2 
  27*x  + 36*x*y + 13*y

$$\frac{- \left(3 x + y\right)^{3} + \left(3 x + 3 y\right)^{3}}{13 y^{2} + \left(27 x^{2} + 36 x y\right)}$$

((3*x + 3*y)^3 - (3*x + y)^3)/(27*x^2 + (36*x)*y + 13*y^2)

Fraction decomposition [src]

2*y

$$2 y$$

2*y

General simplification [src]

2*y

$$2 y$$

2*y

Numerical answer [src]

(27.0*(x + y)^3 - 27.0*(x + 0.333333333333333*y)^3)/(13.0*y^2 + 27.0*x^2 + 36.0*x*y)

(27.0*(x + y)^3 - 27.0*(x + 0.333333333333333*y)^3)/(13.0*y^2 + 27.0*x^2 + 36.0*x*y)

Combinatorics [src]

2*y

$$2 y$$

2*y

Assemble expression [src]

           3            3
(3*x + 3*y)  - (y + 3*x) 
-------------------------
      2       2          
  13*y  + 27*x  + 36*x*y

$$\frac{- \left(3 x + y\right)^{3} + \left(3 x + 3 y\right)^{3}}{27 x^{2} + 36 x y + 13 y^{2}}$$

((3*x + 3*y)^3 - (y + 3*x)^3)/(13*y^2 + 27*x^2 + 36*x*y)

Trigonometric part [src]

           3            3
(3*x + 3*y)  - (y + 3*x) 
-------------------------
      2       2          
  13*y  + 27*x  + 36*x*y

$$\frac{- \left(3 x + y\right)^{3} + \left(3 x + 3 y\right)^{3}}{27 x^{2} + 36 x y + 13 y^{2}}$$

((3*x + 3*y)^3 - (y + 3*x)^3)/(13*y^2 + 27*x^2 + 36*x*y)

Powers [src]

           3            3
(3*x + 3*y)  - (y + 3*x) 
-------------------------
      2       2          
  13*y  + 27*x  + 36*x*y

$$\frac{- \left(3 x + y\right)^{3} + \left(3 x + 3 y\right)^{3}}{27 x^{2} + 36 x y + 13 y^{2}}$$

((3*x + 3*y)^3 - (y + 3*x)^3)/(13*y^2 + 27*x^2 + 36*x*y)

Rational denominator [src]

           3            3
(3*x + 3*y)  - (y + 3*x) 
-------------------------
      2       2          
  13*y  + 27*x  + 36*x*y

$$\frac{- \left(3 x + y\right)^{3} + \left(3 x + 3 y\right)^{3}}{27 x^{2} + 36 x y + 13 y^{2}}$$

((3*x + 3*y)^3 - (y + 3*x)^3)/(13*y^2 + 27*x^2 + 36*x*y)

Combining rational expressions [src]

           3             3
- (y + 3*x)  + 27*(x + y) 
--------------------------
     2                    
 13*y  + 9*x*(3*x + 4*y)

$$\frac{27 \left(x + y\right)^{3} - \left(3 x + y\right)^{3}}{9 x \left(3 x + 4 y\right) + 13 y^{2}}$$

(-(y + 3*x)^3 + 27*(x + y)^3)/(13*y^2 + 9*x*(3*x + 4*y))

Common denominator [src]

2*y

$$2 y$$

2*y