Question

Factorize the following expression​

Answer 1

Answer:

x(x-y)+y(x-y)

1(ײ-1)+y(2-y)

Answer 2

Answer:

$(a) \: {x}^{2} + y - xy - x \\ \\ {x }^{2} - x + y - xy \\ \\ x(x - 1) - y( - 1 + x) \\ \\ x(x - 1) - y(x - 1) \\ \\ (x - y)(x - 1)$

$(b) \: {x}^{2} - 1 - 2y - {y}^{2} \\ \\ {x}^{2} - ( {y }^{2} + 2y + 1) \\ \\ {x}^{2} - ( {y}^{2} + 2 \times y \times 1 + {1}^{2} ) \\ \\ {x }^{2} - {(y + 1)}^{2} \\ \\ (x + y + 1)(x - y + 1)$