Question

factorise x- 2y-x²+4y²​

Answer 1

Answer:

$\large{ \bold{(x - 2y)(1 - x - 2y)}}$

Step-by-step explanation:

$x - 2y - {x}^{2} + 4 {y}^{2}$

$= x - 2y - ( {x}^{2} - 4 {y}^{2} )$

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

$= (x - 2y) - (x(x - 2y) + 2y(x - 2y))$

$= (x - 2y) - (x - 2y)(x + 2y)$

$= (x - 2y)(1 - (x + 2y))$

$= (x - 2y)(1 - x - 2y)$

Hope it helps