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Expression simplification/ Factorization polynomials/ x^2*y+14*x*y^2+49*y^3

Factor polynomial x^2*y+14*x*y^2+49*y^3

An expression to simplify:

The solution

You have entered [src] 
 2           2       3
x *y + 14*x*y  + 49*y
$$49 y^{3} + \left(x^{2} y + 14 x y^{2}\right)$$ 
x^2*y + (14*x)*y^2 + 49*y^3
Factorization [src] 
(x + 7*y)*y
$$y \left(x + 7 y\right)$$ 
(x + 7*y)*y
General simplification [src] 
  / 2       2         \
y*\x  + 49*y  + 14*x*y/
$$y \left(x^{2} + 14 x y + 49 y^{2}\right)$$ 
y*(x^2 + 49*y^2 + 14*x*y)
Trigonometric part [src] 
    3      2         2
49*y  + y*x  + 14*x*y
$$x^{2} y + 14 x y^{2} + 49 y^{3}$$ 
49*y^3 + y*x^2 + 14*x*y^2
Numerical answer [src] 
49.0*y^3 + y*x^2 + 14.0*x*y^2
49.0*y^3 + y*x^2 + 14.0*x*y^2
Rational denominator [src] 
    3      2         2
49*y  + y*x  + 14*x*y
$$x^{2} y + 14 x y^{2} + 49 y^{3}$$ 
49*y^3 + y*x^2 + 14*x*y^2
Combinatorics [src] 
           2
y*(x + 7*y)
$$y \left(x + 7 y\right)^{2}$$ 
y*(x + 7*y)^2
Common denominator [src] 
    3      2         2
49*y  + y*x  + 14*x*y
$$x^{2} y + 14 x y^{2} + 49 y^{3}$$ 
49*y^3 + y*x^2 + 14*x*y^2
Combining rational expressions [src] 
  /    2               \
y*\49*y  + x*(x + 14*y)/
$$y \left(x \left(x + 14 y\right) + 49 y^{2}\right)$$ 
y*(49*y^2 + x*(x + 14*y))
Powers [src] 
    3      2         2
49*y  + y*x  + 14*x*y
$$x^{2} y + 14 x y^{2} + 49 y^{3}$$ 
49*y^3 + y*x^2 + 14*x*y^2
Assemble expression [src] 
    3      2         2
49*y  + y*x  + 14*x*y
$$x^{2} y + 14 x y^{2} + 49 y^{3}$$ 
49*y^3 + y*x^2 + 14*x*y^2
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