Question

simplify (x+y)(2x+y)-(x+2y)(x-y)​

Answer 1

Step-by-step explanation:

(2x^2+ XY +2 xy +y^2) - ( x^2-xy +2xy - 2y^2)

2x^2+ XY +2 xy +y^2- x^2+x y - 2xy + 2y^2

x^2 +2xy +3y^2

Answer 2

(x+y) (2x+y)=

x(2x+y)+y(2x+y)=

2x^2+xy+2xy+y^2=

2x^2+3xy+y^2...........(1)

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

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

x^2-xy+2xy-2y^2=

x^2+xy-2y^2=

for equation no.(1)-(2)=

x^2+2xy+3y^2......