(a-b)²-a²= (a-b-a)×(a-b+a)=-b×(2a-b)
x³+y³+2xy×(x+y)=
= (x+y)×(x²-xy+y²)+2xy×(x+y)=
=(x+y)×(x²-xy+y²+2xy) =(x+y)×(x²+xy+y²)
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(a-b)²-a²= (a-b-a)×(a-b+a)=-b×(2a-b)
x³+y³+2xy×(x+y)=
= (x+y)×(x²-xy+y²)+2xy×(x+y)=
=(x+y)×(x²-xy+y²+2xy) =(x+y)×(x²+xy+y²)