Question

please factorise it fast very urgent

Answer 1

x² - 1 - 2y - y²


= > - y² - 2y - 1 - x²


= > - ( y² + 2y + 1 ) - x²


= > - { y² + y + y + 1 } - x²


= > - { y( y + 1 ) + ( y + 1 )} - x²


= > - { ( y + 1 ) ( y - 1 )} - x²


= > - ( y + 1 )² - x²


= > { - ( y + 1 ) + x } { - ( y + 1 ) - x }


= > { - y - 1 + x } { - y - 1 - x }




$\:$

Answer 2

⬛◼️$\bold {\underline {Happy~ Hindi~ Day}}$◼️⬛

$\bold {\huge {Solutions :-}}$

$\bold {Q:: ~~x^2 - 1 - 2y - y^2 }$

$\bold {= ~- y^2 - 2y - 1 - x^2 }$

$\bold {= ~ - ( y^2 + 2y + 1 ) - x^2 }$

$\bold {= ~- ( y^2 + y + y + 1) - x^2 }$

$\bold {= ~- (y( y + 1 ) + ( y + 1 )) - x^2 }$

$\bold {= ~ - ( ( y + 1 ) ( y - 1 )) - x^2 }$

$\bold {= ~- ( y + 1 )^2 - x^2}$

$\bold {=~ ( - ( y + 1 ) + x) ( - ( y + 1 ) - x) }$

$\bold {= ~( - y - 1 + x) (- y - 1 - x) }$