4xy + x3y + yx2 + yx + 3yx = x3y + x2y + 8xy = (xy)(x2y + x + 8)
4xy+1=3y-7x 4xy-3y=-7x-1 y(4x-3)=-7x-1 y=(-7x-1)/(4x-3)
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
It is 4xy.
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
-1
4xy + x3y + yx2 + yx + 3yx = x3y + x2y + 8xy = (xy)(x2y + x + 8)
4xy+1=3y-7x 4xy-3y=-7x-1 y(4x-3)=-7x-1 y=(-7x-1)/(4x-3)
2y + 2xy' + 4y + 4xy' = 0 6y + 6xy' = 0 y' = -y/x
x3y2 + 7x2y3 + 7xy - 2 + x2y3 + 8x3y2 - 3xy - 7 =9x3y2 + 8x2y3 + 4xy - 9 =xy ( 9x2y + 8xy2 + 4) - 9 =xy ( xy(9x + 8y) + 4) - 9 .This is still messy, but it's simpler than the octonomial in the question,and we can't see any more that can be done with it.
It is 4xy.
xy(x - 2y)(x + 2y)
It is 4xy.
xy + xy = 2xy
It is 4xy.
4xy - 2y(x + 4) = 4xy - 2xy - 8y = 2xy - 8y = 2y(x - 4)
It is an expression in the form of: xy+7