(x+y) (2x+y)+(x+2y) (x-y) -(x+y)-(x+y)
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Step-by-step explanation:
(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
=(2+1)x2+(1+2−1+2)xy+(1−2)y2
=3x2+4xy−y2
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