c) Factorise: (i) a - b - a3 + b3
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Step-by-step explanation:
a - b - a³ + b³
= a - b - ( a³ - b³ )
= a - b - [(a - b)(a² + b² + ab)]
= (a - b) - [(a - b)(a² + b² + ab)]
= (a - b)(1 - (a² + b² + ab))
using formula x³-y³ = (x-y)(x²+y²+xy)
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