Factorize : (a + b)³ - a - b
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Answer:
( a + b ) ( a + b - 1 ) ( a + b + 1 )
Step-by-step explanation:
( a + b )³ - a - b
= ( a + b )³ - ( a + b )
= ( a + b ) [ ( a + b )² - 1 ]
= ( a + b ) [ ( a + b )² - 1² ]
= ( a + b ) ( a + b - 1 ) ( a + b + 1 )
Hence factorised.
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