Find the roots of the following quadratic equations by factorisation:

4x² — 4a²x + a⁴ — b⁴ = 0

4x² – {2(a² + b²) + 2(a² – b²)}x + (a² + b²) (a² – b²) = 0

4x² – 2(a² + b²)x + 2(a² – b²) x + (a² + b²) (a² – b²) = 0

2x {2x – (a² + b²)} – (a² – b²) {2x – (a² + b²)} = 0

{2x – (a² – b²)} {2x – (a² + b²)} = 0

2x – (a² – b²) = 0 2x – (a² + b²) = 0

2x = (a² – b²) 2x = (a² + b²)

Therefore, the roots of the equation are, .