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Expression simplification/ Factorization polynomials/ x^2-6*y+9*y^2

Factor polynomial x^2-6*y+9*y^2

An expression to simplify:

The solution

You have entered [src] 
 2            2
x  - 6*y + 9*y
$$9 y^{2} + \left(x^{2} - 6 y\right)$$ 
x^2 - 6*y + 9*y^2
General simplification [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
Factorization [src] 
/      ___   _____________\ /      ___   _______________\
\x - \/ 3 *\/ y*(2 - 3*y) /*\x + \/ 3 *\/ -y*(-2 + 3*y) /
$$\left(x - \sqrt{3} \sqrt{y \left(2 - 3 y\right)}\right) \left(x + \sqrt{3} \sqrt{- y \left(3 y - 2\right)}\right)$$ 
(x - sqrt(3)*sqrt(y*(2 - 3*y)))*(x + sqrt(3)*sqrt(-y*(-2 + 3*y)))
Trigonometric part [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
Numerical answer [src] 
x^2 + 9.0*y^2 - 6.0*y
x^2 + 9.0*y^2 - 6.0*y
Rational denominator [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
Common denominator [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
Powers [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
Combinatorics [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
Combining rational expressions [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
Assemble expression [src] 
 2            2
x  - 6*y + 9*y
$$x^{2} + 9 y^{2} - 6 y$$ 
x^2 - 6*y + 9*y^2
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