equations....

\hspace{-16}$Let $\mathbf{a,b,c,d}$ are the Roots of the Quadratic equation \\\\ $\mathbf{x^4+px^2+qx+r=0}$. Then find the equation whose\\\\ Roots are $\mathbf{\frac{ab-cd}{a+b-c-d}\;,\frac{ac-bd}{a+c-b-d}\;,\frac{ad-bc}{a+d-b-c}}$\\\\ Answers in terms of $\mathbf{p,q,r}$........

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