SSC Selection Post 2024 PYQ — Question 65

SSC Selection Post - Graduation Level - 26 June 2024 - Shift 3 • Quantitative Aptitude • Q65

Simplify the following expression:

(x+y) (x-y) (x2+y2) (x4+y4) (x8+y8) (x16+y16)

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. x32 - y32.

(x + y)(x - y) = x2 - y2

(x2 - y2)(x2 + y2) = x4 - y4

(x4 - y4)(x4 + y4) = x8 - y8

(x8 - y8)(x8 + y8) = x16 - y16

(x16 - y16)(x16 + y16) = x32 - y32