SSC CHSL 2020 PYQ — Question 53

SSC CHSL - 16th October 2020 - Shift 2 • Quantitative Aptitude • Q53

2x – 3y is a factor of:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 4x2 + 2x – 3y + 9y2 – 12xy.

Understanding/Application

4x2 + 2x - 3y + 9y2 - 12xy

= 4x2 + 9y2 + 2x - 3y - 12xy

= (2x - 3y)2 + 2x - 3y

= (2x - 3y) (2x - 3y + 1)

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