Question

. Simplify:
(1) (2x + y) (2x - y) - (2x + y)2​

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