解:(x+y)²=x²+y²+2xy=x²+y²-2xy+4xy=(x-y)²+4xy=5²+4×6=49x+y=±7(x+y)²-2x-2y+1=(x+y)²-2(x+y)+1=49±14+1=64或363(a-1)²-75(a+3)²=3(a²-2a+1)-75(a²+6a+9)=3a²-6a+3-75a²-450a-675=-72a²-456a-672