ICSE BoardEnglish MediumSTD 9MATHEMATICSFactorisation2 Marks
Question
Factorise $:a - b - a^3+ b^3$
✓
Answer
we know that,
$a^3 - b^3 = ( a - b )( a^2 + ab + b^2 ) ....(1)$
$a - b - a^3+ b^3$
$= a - b - ( a^3 - b^3 )$
$= ( a - b ) - ( a - b )[ a^2 + ab + b^2 ] [ From (1) ]$
$= ( a - b )[ 1 - a^2 - ab - b^2 ]$
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