Verified answer

Given Equation is a^8 - b^8

It can be written as,

= > (a^4)^2 - (b^4)^2

We know that a^2 - b^2 = (a + b)(a - b)

= > (a^4 + b^4)(a^4 - b^4)

= > (a^4 + b^4)((a^2)^2 - (b^2)^2)

= > (a^4 + b^4)(a^2 + b^2)(a^2 - b^2)

= > (a^4 + b^4)(a^2 + b^2)(a + b)(a - b).

We know that a^4 + b^4 = (a^2 + b^2)^2 - 2a^2b^2

=

Therefore, the final answer is:

Hope this helps!

Given Equation is a^8 - b^8

It can be written as,

= > (a^4)^2 - (b^4)^2

We know that a^2 - b^2 = (a + b)(a - b)

= > (a^4 + b^4)(a^4 - b^4)

= > (a^4 + b^4)((a^2)^2 - (b^2)^2)

= > (a^4 + b^4)(a^2 + b^2)(a^2 - b^2)

= > (a^4 + b^4)(a^2 + b^2)(a + b)(a - b).

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