Mister Exam

# 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