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Q.

What will be the factors of x 6 + y 6 ?


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a

x 2 − y 2 x 4 + y 4 + y 2 x 2

b

x 2 + y 2 x 4 + y 4 − y 2 x 2

c

x 2 − y 2 x 4 + y 4 − y 2 x 2

d

x 2 + y 2 x 4 + y 4 + y 2 x 2  

answer is B.

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Detailed Solution

We have to find the factors of x 6 + y 6 .
Considering the formula of factorization of the sum of two cubes, x 3 + y 3 =(x+y) x 2 −xy+ y 2
Factoring the expression by applying the above formula,      Question ImageSo, the factors of x 6 + y 6 = x 2 + y 2 x 4 + y 4 − y 2 x 2 .
Therefore, option 2 is correct.
 
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