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x^{2}-2xy-4yx+8y^{2}
Apply the distributive property by multiplying each term of x-4y by each term of x-2y.
x^{2}-6xy+8y^{2}
Combine -2xy and -4yx to get -6xy.
x^{2}-2xy-4yx+8y^{2}
Apply the distributive property by multiplying each term of x-4y by each term of x-2y.
x^{2}-6xy+8y^{2}
Combine -2xy and -4yx to get -6xy.