Question

19. 1 − x⁴y⁴ के गुणनखण्ड कीजिए ।

Answer 1

$1 - {x}^{4} {y}^{4}$

$= {(1)}^{2} - { ({x}^{2} {y}^{2} )}^{2}$

$= (1 + {x}^{2} {y}^{2} )(1 - {x}^{2} {y}^{2} )$ [using the identity a² - b² = ( a + b) ( a - b) ]

$= (1 + {x}^{2} {y}^{2} )(1 - {(xy)}^{2} )$

$= (1 + {x}^{2} {y}^{2} )(1 + xy)(1 - xy)$

[using the identity a² - b² = ( a + b) ( a - b)]