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x^{2}+4xy+yx+4y^{2}
Apply the distributive property by multiplying each term of x+y by each term of x+4y.
x^{2}+5xy+4y^{2}
Combine 4xy and yx to get 5xy.
x^{2}+4xy+yx+4y^{2}
Apply the distributive property by multiplying each term of x+y by each term of x+4y.
x^{2}+5xy+4y^{2}
Combine 4xy and yx to get 5xy.