Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial:

Question

–44ax +121a^2+4x^2

Answer 1

rearrange to standard form, to make it easier to check
121a^2 - 44ax + 4x^2
Note that the two end terms are perfect squares: (11a)^2 and (2x)^2
Now see that 44 = 2(11*2)
So, it is clearly
(11a-2x)^2
or (2x-11a)^2