Question

Factorise (x8 - y8)​

Answer 1

Answer:

(x-y) (x+y)..................

Answer 2

Answer:

Step-by-step explanation:

See here

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

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

Now we can use Identity

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

Similarly

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

Now again we have to use identity

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

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

Now

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

$(x-y)(x+y)$

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