Question

Factories:
x(x+1)-y(y+1)​

Answer 1

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

Explanation:

x2+x-y2-y

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

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

Answer 2

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

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)`