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multivariate polynomial ring over complex numbers

I want to factorize bivariate polynomials over C. For single variable case we do this as follow:

R=CC[x]
x=R.gen()
f=x^2+1
f.factor()

How to do this for multivariate case ?

multivariate polynomial ring over complex numbers

I want to factorize bivariate polynomials over C. For single variable case we do this as follow:

R=CC[x]
x=R.gen()
f=x^2+1
f.factor()

How to do this for multivariate case ?

multivariate polynomial ring over complex numbers

I want to factorize bivariate polynomials over C. For single variable case we do this as follow:

R=CC[x]
x=R.gen()
f=x^2+1
f.factor()

How to do this for multivariate case ?