Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

$144x^2 - 36 x + \frac{9}{4}$ can be expressed as the square of ____________.

Options:

$14x -\frac{3}{2}$

$12x -\frac{9}{4}$

$12x -\frac{3}{2}$

$12x - 9$

Correct Answer:

$12x -\frac{3}{2}$

Explanation:

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 - \(\frac{3}{2}\))