A to the power 6 - b to the power 6
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Now,
a⁶ - b⁶
= (a³)² - (b³)²
= (a³ + b³) (a³ - b³)
= (a + b) (a² - ab + b²) (a - b) (a² + ab + b²),
which is the required factorization
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