Multiple choice

lf $\alpha,\ \beta,\ \gamma$ are the roots of $x^{3}-7x+6=0$, then the equation whose roots are $(\alpha-\beta)^{2},\ (\beta-\gamma)^{2},(\gamma-\alpha)^{2}$ is:

  1. $(x-7)^{3}-21(x-7)^{2}+972=0$
  2. $(x+1)^{3}-21(x+1)^{2}+972=0$
  3. $(x +7)^{3}-21(x +7)^{2}+972=0$
  4. $(x+7)^{3}-21(x+7)^{2}-400=0$
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