Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- y^5-2*y^3+y
- y^3-9*y
- y^3+4^3
- y^2-y^8
- Least common denominator:
- x^4/4-3*x^2/2
- (x^2+4/x^x^2-4*x+4+x-2/2-x)/4/x^2-4
- (x/216+5*3^(1/2)/144)/(7776*x-97200*3^(1/2))
- ((u^2-4*u+16)/(16*u^2-1)*(4*u^2+u)/(u^3+64)-(u+4)/(4*u^2-u))
- Factor squared:
- y^4+5*y^2-10
- -y^4-4*y^2-5
- -y^4+4*y^2-3
- -y^4+4*y^2+8
- How do you in partial fractions?:
- ((5x+y)/(x-5y)+(5x-y)/(x+5y)):((x^2+y^2)/(x^2-25y^2))
- (3*n-1)/(5*n+4)
- (x-3)*(x+3)/(x-3)^2
- (x^2-5*x+6)/(x^2-4)
- Sum of series:
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n^3-1
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Identical expressions
- n^ three - one
- n cubed minus 1
- n to the power of three minus one
- n3-1
- n³-1
- n to the power of 3-1
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Similar expressions
- n^3+1
Factor polynomial n^3-1
The solution
Factorization
[src]
/ ___\ / ___\
| 1 I*\/ 3 | | 1 I*\/ 3 |
(n - 1)*|n + - + -------|*|n + - - -------|
\ 2 2 / \ 2 2 /
$$\left(n - 1\right) \left(n + \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right) \left(n + \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right)$$
((n - 1)*(n + 1/2 + i*sqrt(3)/2))*(n + 1/2 - i*sqrt(3)/2)
Combinatorics
[src]
/ 2\ (-1 + n)*\1 + n + n /
$$\left(n - 1\right) \left(n^{2} + n + 1\right)$$
(-1 + n)*(1 + n + n^2)