Without an equality sign the given expression is not an equation
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It is 4xy.
4xy + x3y + yx2 + yx + 3yx = x3y + x2y + 8xy = (xy)(x2y + x + 8)
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
(x + 3)(x + 4y)