using identity, factorise: a square - 1 - 2b - b square.
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Factorise :
a² - 1 - 2b - b²
= a² - 1 - 2b - b²
= a² - ( 1 + 2b + b² )
= a² - 1[ (1)² + 2(1)(b) + (b)² ]
We know,
[ m + n ]² = m² + 2mn + n²
= a² - ( 1 + b )²
We know,
a² - b² = ( a + b ) ( a - b )
= ( a + 1 + b ) ( a - 1 - b )
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