$144x^2 - 36 x + \frac{9}{4}$ can be expressed as the square of ____________.
Answer & explanation
Correct answer: option 3
We know that,
(a - b)2 = a2 + b2 - 2ab
144x2 - 36x + \(\frac{9}{4}\)
= (12x)2 - 2(12x)( \(\frac{3}{2}\)) + (\(\frac{3}{2}\))2
(12x - \(\frac{3}{2}\))2 = (12x - \(\frac{3}{2}\))