Example 1: calculate (x+y)^2 in the polynomial ring Z[x,y].

i107 : R=ZZ[x,y]

o107 = R

o107 : PolynomialRing

i108 : (x+y)^2

2 2

o108 = x + 2x*y + y

o108 : R

Example 2: calculate (x+y)^2 in the polynomial ring Z/2[x,y].

i111 : R=ZZ/2[x,y]

o111 = R

o111 : PolynomialRing

i112 : (x+y)^2

2 2

o112 = x + y

o112 : R

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