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2x^{2}+8xy+yx+4y^{2}
Apply the distributive property by multiplying each term of 2x+y by each term of x+4y.
2x^{2}+9xy+4y^{2}
Combine 8xy and yx to get 9xy.
2x^{2}+8xy+yx+4y^{2}
Apply the distributive property by multiplying each term of 2x+y by each term of x+4y.
2x^{2}+9xy+4y^{2}
Combine 8xy and yx to get 9xy.