SSC CGL 2024 PYQ — Question 65

SSC CGL - 24 Sep 2024 - Shift 1 • Quantitative Aptitude • Q65

Simplyfiy the following expression.

(3x + 17 - 2y) (3x - 17 - 2y)

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e.  9x2 - 12xy + 4y2 - 289.

Given that, (3x + 17 - 2y) (3x - 17 - 2y)

⇒ 3x(3x - 17 - 2y) + 17(3x - 17 - 2y) - 2y(3x - 17 - 2y)

⇒ 9x2 - 51x - 6xy + 51x - 289 - 34y - 6xy + 34y + 4 y2

⇒ 9x2 - 12xy + 4y2 - 289

HEnce the required answer is  9x2 - 12xy + 4y2 - 289.