Question

x8+y8
$x8 + y8|$
​

Answer 1

Answer:

See here

x^{8} -y^{8}x

8

−y

8

(x^{4} )^{2} -(y^{4}) ^{2}(x

4

)

2

−(y

4

)

2

Now we can use Identity

a^{2} -b^{2} = (a-b) (a+b)a

2

−b

2

=(a−b)(a+b)

Similarly

(x^{4} -y^{4})( x^{4} +y^{4} )(x

4

−y

4

)(x

4

+y

4

)

Now again we have to use identity

(x^{2} )^{2} -(y^{2} )^{2}(x

2

)

2

−(y

2

)

2

(x^{2} -y^{2}) (x^{2} +y^{2} )(x

2

−y

2

)(x

2

+y

2

)

Now

x^{2} -y^{2}x

2

−y

2

(x-y)(x+y)(x−y)(x+y)

Therefor the Factorise is (x-y)(x+y)(x−y)(x+y)