x^2n-y^2n is divisible by x+y
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Hi friend, Harish here.
Here is your answer:
We know that the power 2n is an even number as it is divisible by two.
xᵃ - yᵃ is always divisible by x + y when a is even.
Here , a = 2n and it is even .
Therefore x²ⁿ - y²ⁿ is always divisible by x+y.
___________________________________________________
Hope my answer is helpful to you.
Here is your answer:
We know that the power 2n is an even number as it is divisible by two.
xᵃ - yᵃ is always divisible by x + y when a is even.
Here , a = 2n and it is even .
Therefore x²ⁿ - y²ⁿ is always divisible by x+y.
___________________________________________________
Hope my answer is helpful to you.
HarishAS:
Hope this helps , Pls feel free to ask doubts regarding this question.
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