Question

(x+y) (2x+y) + (x+2y) (x-y) ​

Answer 1

Answer:

(x + y)(2x + y)+(x + 2y)(x-y)

[(x * 2x + y)+(y * 2x + y)]+[(x * x-y)+(2y * x-y)]

[2x2 + xy + 2xy + y2]+[x2- xy + 2xy - 2y2]

2x2 + 3xy + y2 + x2 + xy - 2y2

3x2 + 4xy - y2

Answer 2

Step-by-step explanation:

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

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

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

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