(1)(x+2)²-(x-1)(x+1)=(x²+4x+4)-(x²-1)=4x+5
(2)(-a+1)(-a-1)-2(a+1)²=(a²-1)-2(a²+2a+1)=-a²-4a-3
(3)(2a+b)²-(-2a-b)²=(2a+b)²-(2a+b)²=0
(4)(x+y)²(x-y)²-(x-y)(x+y)(x²+y²)=[(x+y)(x-y)]²-(x²-y²)(x²+y²)
=(x²-y²)²-(x^4-y^4)
=x^4-2x²y²+y^4-x^4+y^4
=2y^4-2x²y²
(1)(x+2)²-(x-1)(x+1)=(x²+4x+4)-(x²-1)=4x+5
(2)(-a+1)(-a-1)-2(a+1)²=(a²-1)-2(a²+2a+1)=-a²-4a-3
(3)(2a+b)²-(-2a-b)²=(2a+b)²-(2a+b)²=0
(4)(x+y)²(x-y)²-(x-y)(x+y)(x²+y²)=[(x+y)(x-y)]²-(x²-y²)(x²+y²)
=(x²-y²)²-(x^4-y^4)
=x^4-2x²y²+y^4-x^4+y^4
=2y^4-2x²y²