Mister Exam
Other calculators
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How to use it?
- How do you in partial fractions?:
- x^2-9/(x+3)^2
- (x^3+2)/(x^3-4x)
- (C^2-5c)/(c^2-25)
- (9*a^2-16)*(1*(3*a-4)-1/(3*a+4))
- Factor polynomial:
- x^3+y^3+z^3
- x^3-8*x^2-23*x+210
- x^3-6*x*y+y^3
- -x^3+6*x-4*x-8
- Least common denominator:
- tan((x-pi)/4)-tan((x+pi)/4)
- (n*n-2*n)/(n+1)-(n*n-1)/(n+2)
- n+6/(4*n+8)-n+2/(4*n-8)+5/(n^2-4)
- n+3/(2*n+2)-n+1/(2*n-2)+3/(n^2-1)
- Factor squared:
- x^2+9*x-6
- x^2+5*x+7
- -x^2+4*x*y-y^2
- -x^2-5*x+14
- Integral of d{x}:
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(x^3+2)/(x^3-4x)
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Identical expressions
- (x^ three + two)/(x^ three -4x)
- (x cubed plus 2) divide by (x cubed minus 4x)
- (x to the power of three plus two) divide by (x to the power of three minus 4x)
- (x3+2)/(x3-4x)
- x3+2/x3-4x
- (x³+2)/(x³-4x)
- (x to the power of 3+2)/(x to the power of 3-4x)
- x^3+2/x^3-4x
- (x^3+2) divide by (x^3-4x)
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Similar expressions
- (x^3+2)/(x^3+4x)
- (x^3-2)/(x^3-4x)
How do you (x^3+2)/(x^3-4x) in partial fractions?
The solution
You have entered
[src]
3 x + 2 -------- 3 x - 4*x
$$\frac{x^{3} + 2}{x^{3} - 4 x}$$
(x^3 + 2)/(x^3 - 4*x)
Fraction decomposition
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1 - 3/(4*(2 + x)) - 1/(2*x) + 5/(4*(-2 + x))
$$1 - \frac{3}{4 \left(x + 2\right)} + \frac{5}{4 \left(x - 2\right)} - \frac{1}{2 x}$$
3 1 5
1 - --------- - --- + ----------
4*(2 + x) 2*x 4*(-2 + x)
General simplification
[src]
3 2 + x ----------- / 2\ x*\-4 + x /
$$\frac{x^{3} + 2}{x \left(x^{2} - 4\right)}$$
(2 + x^3)/(x*(-4 + x^2))
Combinatorics
[src]
3
2 + x
------------------
x*(-2 + x)*(2 + x)
$$\frac{x^{3} + 2}{x \left(x - 2\right) \left(x + 2\right)}$$
(2 + x^3)/(x*(-2 + x)*(2 + x))
Combining rational expressions
[src]
3 2 + x ----------- / 2\ x*\-4 + x /
$$\frac{x^{3} + 2}{x \left(x^{2} - 4\right)}$$
(2 + x^3)/(x*(-4 + x^2))
Common denominator
[src]
2 + 4*x
1 + --------
3
x - 4*x
$$\frac{4 x + 2}{x^{3} - 4 x} + 1$$
1 + (2 + 4*x)/(x^3 - 4*x)