Question

a3-b3-a+b factaries
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Answer 1

Step-by-step explanation:

Using the above identity, the equation

a³ - b³ - a + b can be factorised as follows:

a³ - b³ - a + b

= (a³- b³) - (a - b)

={(a - b)[(a)² + (b)² + (a × b) ] } - (a - b)

=(a - b) (a² + b² + ab) - (a - b)

= (a - b) { a² + b² + ab - 1}

Hence, a³- b³ - a + b = (a - b) (a² + b² + ab - 1)