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Question
Factorise : a - b - a3 + b3
Sum
Solution
we know that,
a3 - b3 = ( a - b )( a2 + ab + b2 ) ....(1)
a - b - a3 + b3
= a - b - ( a3 - b3 )
= ( a - b ) - ( a - b )[ a2 + ab + b2 ] [ From (1) ]
= ( a - b )[ 1 - a2 - ab - b2 ]
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Method of Factorisation : the Sum Or Difference of Two Cubes
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