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Question
Factorise : a (a - 1) - b (b - 1)
Sum
Solution
a (a - 1) - b (b - 1)
= a2 - a - b2 + b
= a2 - b2 - a + b
= ( a + b )( a - b ) - ( a - b ) [∵ a2 - b2 = ( a + b )( a - b )]
= ( a - b )[( a + b ) - 1]
= ( a - b )[ a + b - 1 ]
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Method of Factorisation : Difference of Two Squares
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