Question

(x+y) (2x+3y) - (x+y) (x+1)​

Answer 1

Answer:

$x^{2}$ + 4xy + 3$y^{2}$ + x + y

Step-by-step explanation:

(x+y) (2x+3y) - (x+y) (x+1)

2x(x+y) + 3y(x+y) - x(x+y) + 1(x+y)

2$x^{2}$ + 2xy + 3xy + 3$y^{2}$ - $x^{2}$ - xy + x + y

2$x^{2}$ - $x^{2}$ + 2xy + 3xy - xy + 3$y^{2}$ + x + y

$x^{2}$ + 4xy + 3$y^{2}$ + x + y