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Expression simplification/ Factorization polynomials/ 4*y^3-3*y^2+21*y+2*y^3-y+3*y^2-2*y^3-7*y

Factor polynomial 4*y^3-3*y^2+21*y+2*y^3-y+3*y^2-2*y^3-7*y

An expression to simplify:

The solution

You have entered [src] 
   3      2             3          2      3      
4*y  - 3*y  + 21*y + 2*y  - y + 3*y  - 2*y  - 7*y
$$- 7 y + \left(- 2 y^{3} + \left(3 y^{2} + \left(- y + \left(2 y^{3} + \left(21 y + \left(4 y^{3} - 3 y^{2}\right)\right)\right)\right)\right)\right)$$ 
4*y^3 - 3*y^2 + 21*y + 2*y^3 - y + 3*y^2 - 2*y^3 - 7*y
Factorization [src] 
  /        ____\ /        ____\
  |    I*\/ 13 | |    I*\/ 13 |
x*|x + --------|*|x - --------|
  \       2    / \       2    /
$$x \left(x + \frac{\sqrt{13} i}{2}\right) \left(x - \frac{\sqrt{13} i}{2}\right)$$ 
(x*(x + i*sqrt(13)/2))*(x - i*sqrt(13)/2)
General simplification [src] 
  /        2\
y*\13 + 4*y /
$$y \left(4 y^{2} + 13\right)$$ 
y*(13 + 4*y^2)
Combining rational expressions [src] 
y*(13 + 3*y + y*(-3 + 4*y))
$$y \left(y \left(4 y - 3\right) + 3 y + 13\right)$$ 
y*(13 + 3*y + y*(-3 + 4*y))
Powers [src] 
   3       
4*y  + 13*y
$$4 y^{3} + 13 y$$ 
4*y^3 + 13*y
Assemble expression [src] 
   3       
4*y  + 13*y
$$4 y^{3} + 13 y$$ 
4*y^3 + 13*y
Numerical answer [src] 
4.0*y^3 + 13.0*y
4.0*y^3 + 13.0*y
Rational denominator [src] 
   3       
4*y  + 13*y
$$4 y^{3} + 13 y$$ 
4*y^3 + 13*y
Combinatorics [src] 
  /        2\
y*\13 + 4*y /
$$y \left(4 y^{2} + 13\right)$$ 
y*(13 + 4*y^2)
Trigonometric part [src] 
   3       
4*y  + 13*y
$$4 y^{3} + 13 y$$ 
4*y^3 + 13*y
Common denominator [src] 
   3       
4*y  + 13*y
$$4 y^{3} + 13 y$$ 
4*y^3 + 13*y
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