Question

simplified this question

(1 - x²) (1 - y²) + 4xy​

Answer 1

$\huge\mathcal{Answer:}$

$= (1 {x}^{2} ) \times (1 - {y}^{2} ) + 4 \times y$

$= 1 \times (1 - {y}^{2} ) - {x}^{2}(1 - {y}^{2} ) + 4xy$

$= 1 - {y}^{2} - {x}^{2} + {x}^{2} {y}^{2} + 4xy$

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

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

$= ((1 + xy) + (x - y)) \times ((1 + xy) - (x - y))$

$= ((1 + x - y) + xy) \times (1 - x + y + xy))$

Answer 2

$it \: can \: simply \: be \: written \: as \: \: \\x {}^{2} - y {}^{2} = ( x + y)(x - y) \\ so \: \: according \: to \: the \: question \\ (1 - x)(1 + x)(1 - y)(1 + y) + 4xy \\ now \: u \: can \: solve \: it \: easily \\ hope \: it \: helps$