The GCD of x4 – y4 and x2 – y2 is (1) x4 – y4 (2) x2 – y2 – InterviewSolution

InterviewSolution

1.

The GCD of x4 – y4 and x2 – y2 is (1) x4 – y4 (2) x2 – y2 (3) (x + y)2 (4) (x + y)4

Answer»

(2) x² – y²

x⁴ – y⁴ = (x²)² – (y²)² = (x² + y²) (x² – y²)

x² – y² = x² – y²

G.C.D. is = x² – y²

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