1)
X²+2xy+y²-4=
=(x+y)²-4=(x+y)²-2² =
=(x+y-2)(x+y+2)
2)
(a²-b²)-(a²-2ab+b²)=(a-b)(a+b)-(a-b)(a-b)=
=(a-b)[(a+b)-(a-b)]= (a-b)(a+b-a+b)=
=2b(a-b)
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Answers & Comments
1)
X²+2xy+y²-4=
=(x+y)²-4=(x+y)²-2² =
=(x+y-2)(x+y+2)
2)
(a²-b²)-(a²-2ab+b²)=(a-b)(a+b)-(a-b)(a-b)=
=(a-b)[(a+b)-(a-b)]= (a-b)(a+b-a+b)=
=2b(a-b)