Someone claimed that the following two expressions are equal. But after much manipulation, I cannot establish their equality. Is there in fact a typo somewhere?
$C(x_1^2+x_2^2)^{-(a+p)/2} x_1^p$
$C(x_1)^{-a}(1+x_2/x_1)^{-(a+p)/2}$
I did find that the first expression is equal to $C(x_1^2)^{-(a+p)/2}(1+x_2^2/x_1^2)^{-(a+p)/2}x_1^p$, but did manage to make any more progress.