Factorise : `(a) x^(6)+y^(6) " " (b) x^(6)-y^(6)`

Explanation

Let's solve the given problems step by step.

### (a) Factorize \( x^6 + y^6 \)

1. **Recognize the expression**: Notice that \( x^6 + y^6 \) can be rewritten as \( (x^2)^3 + (y^2)^3 \). This is a sum of cubes.

2. **Apply the sum of cubes formula**: The formula for the sum of cubes is:
\[
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