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x+y+x^{2}+xy+yx+y^{2}
Apply the distributive property by multiplying each term of 1+x+y by each term of x+y.
x+y+x^{2}+2xy+y^{2}
Combine xy and yx to get 2xy.
x+y+x^{2}+xy+yx+y^{2}
Apply the distributive property by multiplying each term of 1+x+y by each term of x+y.
x+y+x^{2}+2xy+y^{2}
Combine xy and yx to get 2xy.