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E(x)=(x-3)²+2(x-3)+(x+4)²-2(3-x)
Aratati ca E(x)=(2x+1)².


Răspuns :

E(x)=(x-3)²+2(x+3)(x-3)+(x+4)²-2(3-x)=
=
x²-6x+9+2x²-18+x²+8x+16-6+2x=
=4x²+4x+1=
=(2x+1)²