(x-y)(x²+xy+y²);(x+y-1)²;(a+1/2)²

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(x-y)(x²+xy+y²);(x+y-1)²;(a+1/2)²
(x-y)(x²+xy+y²);(x+y-1)²;(a+1/2)²

(x-y)(x²+xy+y²);(x+y-1)²;(a+1/2)²
(x-y)(x²+xy+y²)=x^3-y^3
(x+y-1)²
=(x+y)^2-2(x+y)+1
=x^2+2xy+y^2-2x-2y+1
(a+1/2)²
=a^2+a+1/4

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(x-y)(x²+xy+y²)
=x³+x²y+xy²-x²y-xy²-y³
=x³-y³

(x+y-1)²
=(x+y)²-2(x+y)+1
=x²+2xy+y²-2x-2y+1

(a+1/2)²
=a²+2×a×1/2+1/4
=a²+a+1/4