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)

=2x

2

+xy+2xy+y

2

+x

2

−xy+2xy−2y

2

=(2+1)x

2

+(1+2−1+2)xy+(1−2)y

2

=3x

2

+4xy−y

2

Answer 2

Answer:

$(x + y)(2x + y) + (x + 2y)(x + y) \\ (x {}^{2} + xy + 2xy + y {}^{2} ) + (x {}^{2} + xy + 2xy + 2y {}^{2} ) \\ (x {}^{2} + 3xy + y {}^{2} ) + (x {}^{2} + 3xy + 2y {}^{2} ) \\ 2x {}^{2} + 6xy + 3y {}^{2}$