Question : If $x^4+y^4=x^2 y^2$, then the value of $x^6+y^6$ is:
Option 1: 2
Option 2: 0
Option 3: 1
Option 4: 3
Answer (1)
24th Jan, 2024
Correct Answer: 0
Solution :
Given: $x^4+y^4=x^2 y^2$
Now,
$x^6+y^6$ = $(x^2)^3 + (y^2)^3$
= $(x^2+y^2)(x^4+y^4-x^2y^2)$
= $(x^2+y^2)(x^2y^2-x^2y^2)$
= $(x^2+y^2)(0)$
= 0
Hence, the correct answer is 0.
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