Question

Factories:x(x+1)-y(y+1)​

Answer 1

Answer:

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

Step-by-step explanation:

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

Lets expand it.

$= > {x}^{2} + x - {y}^{2} - y$

Lets re-arrange it.

$= > {x}^{2} - {y}^{2} + x - y$

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

Lets take (x - y) common.

$= > (x - y)[(x + y) + 1]$

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

Answer 2

(x-y)(x+y+1)

Step-by-step explanation:

x2+x-y2-y

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

(x-y)(x+y+1)