1/2a-1/(a-b)*[(a-b)/2a-a^2+b^2]
=1/2a-1/(a-b)*[(a-b)/2a-(a^2-b^2)]
=1/2a-1/(a-b)*(a-b)/2a+1/(a-b)*(a^2-b^2)
=1/2a-1/(a-b)*(a-b)/2a+1/(a-b)*(a-b)(a+b)
=1/2a-1/2a+(a+b)
=a+b
=3-2√2+3√2-3
=√2
1/2a-1/(a-b)*[(a-b)/2a-a^2+b^2]
=1/2a-1/(a-b)*[(a-b)/2a-(a^2-b^2)]
=1/2a-1/(a-b)*(a-b)/2a+1/(a-b)*(a^2-b^2)
=1/2a-1/(a-b)*(a-b)/2a+1/(a-b)*(a-b)(a+b)
=1/2a-1/2a+(a+b)
=a+b
=3-2√2+3√2-3
=√2