Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

(ax + by) is a factor of :

Options:

$a^2x^2 + 2ab - b^2y^2$

$a^2x^2 + 2abxy + b^2y^2$

$a^2x^3 + 2abx + b^2y^2x$

$a^2x^2 + 2ab + b^2y^2$

Correct Answer:

$a^2x^2 + 2abxy + b^2y^2$

Explanation:

We know that,

(a + b)2 = a2 + b2 + ab

So,  (ax + by)2 = a2x2 + 2abxy + b2y2

So, (ax + by) is a factor of  a2x2 + 2abxy + b2y2