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Find If x prop y then prove that x^3+y^3 prop x^2y-xy^2

Solution:
Your problem `->` If x prop y then prove that x^3+y^3 prop x^2y-xy^2


`x prop y`

`=> x=M*y` (where constant `M != 0`)

Now `(x^3+y^3) / (x^2y-xy^2)`

`= (M^3y^3+y^3) / (M^2y^3-My^3)`

`= (y^3(M^3+1)) / (My^3(M-1))`

`= ((M^3+1)) / (M(M-1))`

`=` non-zero constant

`:. x^3+y^3 prop x^2y-xy^2`






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