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Factor polynomial:
x^4-x^2
x^6+27
x^3-x^5
x^2-y^2+x+y
Least common denominator:
(a/5+a/7)*a^2/4
(z/(z+6)*(z+6))-(z/(z-6)*(z+6))
z/(z+4)^2-z/z^2-16
((y-9)/(y-8))*((y^2-64)/(y^2-16*y-64))
Factor squared:
y^4-y^2+9
x^2+x+3
y^4-y^2+4
2*x^2+x*y-y^2
How do you in partial fractions?:
-x^2/(x-2)^2+2*x/(x-2)
(a^3+a)/(a^4+a)
1/(3*sqrt(1-x^2/9))
x^3/(x^8+1)
Identical expressions
m^ three + twenty-seven *n^ three
m cubed plus 27 multiply by n cubed
m to the power of three plus twenty minus seven multiply by n to the power of three
m3+27*n3
m³+27*n³
m to the power of 3+27*n to the power of 3
m^3+27n^3
m3+27n3
Similar expressions
m^3-27*n^3

Expression simplification/ Factorization polynomials/ m^3+27*n^3

Factor polynomial m^3+27*n^3

The solution

You have entered [src]

 3       3
m  + 27*n

$$m^{3} + 27 n^{3}$$

m^3 + 27*n^3

Factorization [src]

          /        /        ___\\ /        /        ___\\
          |        |1   I*\/ 3 || |        |1   I*\/ 3 ||
(m + 3*n)*|m - 3*n*|- - -------||*|m - 3*n*|- + -------||
          \        \2      2   // \        \2      2   //

$$\left(m + 3 n\right) \left(m - 3 n \left(\frac{1}{2} - \frac{\sqrt{3} i}{2}\right)\right) \left(m - 3 n \left(\frac{1}{2} + \frac{\sqrt{3} i}{2}\right)\right)$$

((m + 3*n)*(m - 3*n*(1/2 - i*sqrt(3)/2)))*(m - 3*n*(1/2 + i*sqrt(3)/2))

Numerical answer [src]

m^3 + 27.0*n^3

m^3 + 27.0*n^3

Combinatorics [src]

          / 2      2        \
(m + 3*n)*\m  + 9*n  - 3*m*n/

$$\left(m + 3 n\right) \left(m^{2} - 3 m n + 9 n^{2}\right)$$

(m + 3*n)*(m^2 + 9*n^2 - 3*m*n)

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Identical expressions

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Factor polynomial m^3+27*n^3

The solution