Answer:
[tex](x - y)(x + y + 1)[/tex]
Step-by-step explanation:
[tex]x(x + 1) - y(y + 1)[/tex]
Lets expand it.
[tex] = > {x}^{2} + x - {y}^{2} - y[/tex]
Lets re-arrange it.
[tex] = > {x}^{2} - {y}^{2} + x - y[/tex]
[tex] = > (x + y)(x - y) + 1(x - y)[/tex]
Lets take (x - y) common.
[tex] = > (x - y)[(x + y) + 1] [/tex]
[tex] = > (x - y)(x + y + 1)[/tex]
(x-y)(x+y+1)
Step-by-step explanation:
x2+x-y2-y
(x+y)(x-y)+(x-y)
(x-y)(x+y+1)
