Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

2x - 3y is a factor of :

Options:

$4x^2 + 2x - 3y + 9y^2 - 12xy$

$8x^3 + 27y^3$

$4x^2 + 9y^2 + 12xy$

$4x^2 + 2x - 3y + 36y^2 + 12xy$

Correct Answer:

$4x^2 + 2x - 3y + 9y^2 - 12xy$

Explanation:

We know that,

(a - b)2 = a2 + b2 - 2ab 

(2x - 3y) = 4x2 + 9y2 - 12xy

So, 2x - 3y is a factor of  4x2 + 9y2 - 12xy