Finding the perfect square of a fraction.
I am having some real problems finding the perfect square of a fraction. For example;
y^4/9 + 1/2 + 9/16y^4 = (y^2/3 + 3/4y^2)^2
But no MATTER WHAT I do I can not get this answer to replicate. I always get different forms of what I assume are the same answer.
But I am trying to do arc length, and I need the answer to be a perfect square to get rid of the square root.
I need the perfect square of;
y^4/121 + y^2/2 + 137/16
ANY help, please!

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Please let me know if these are too difficult to read and I will rewrite in equation.

\[y^{\frac{4}{9}} + \frac{1}{2}+ \frac{9}{16}y^4 = (y^\frac{2}{3} + \frac{3}{4}y^2)^2\]
like that?

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