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(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
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