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x^{2}+2xy+yx+2y^{2}
Apply the distributive property by multiplying each term of x+y by each term of x+2y.
x^{2}+3xy+2y^{2}
Combine 2xy and yx to get 3xy.
x^{2}+2xy+yx+2y^{2}
Apply the distributive property by multiplying each term of x+y by each term of x+2y.
x^{2}+3xy+2y^{2}
Combine 2xy and yx to get 3xy.