Math, asked by SatwikSahu, 10 months ago

what is x^6+y^6 is this a identity​

Answers

Answered by bhoomikasanjeev2009
3

Answer:

We know the identity a

3

−b

3

=(a−b)(a

2

+b

2

+ab)

Using the above identity, the equation x

6

−y

6

can be factorised as follows:

x

6

−y

6

=(x

2

)

3

−(y

2

)

3

=(x

2

−y

2

)[(x

2

)

2

+(y

2

)

2

+(x

2

×y

2

)]=(x−y)(x+y)(x

2

+y

2

+xy)(x

2

+y

2

−xy)

(using identities a

2

−b

2

=(a+b)(a−b) and a

4

+b

4

+a

2

b

2

=(a

2

+b

2

+ab)(a

2

+b

2

−ab) )

Hence, x

6

−y

6

=(x−y)(x+y)(x

2

+y

2

+xy)(x

2

+y

2

−xy)

Answered by kamblesushma816
2

Answer:

sorry friend

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