Question

Fctorise the expression x^2-y^2-2y-1

Answer 1

x² - y² - 2y -1

= x² - ( y² + 2y +1)

= x² - ( y² + y + y +1 )

= x² - [y ( y + 1 ) + 1 ( y + 1)]

= x² - [ (y+1) (y+1) ]

= x² - ( y + 1 )²

= ( a² - b² ) = ( a + b ) ( a - b )

= ( x + y + 1 ) ( x - y - 1 )

Hope you understand

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