Obtain parametric equations for the locus $y^2=x^3-x^2$.
Put $y=t$x in the equation $y^2=x^3-x^2$, then
Therefore the locus may be represented by the parametric equations $x=t^2+1$, $y=t^3+t$
$Note:$ This method is not suitable for all equations, but it works well when the terms are of degree $n$ and $n-1$
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