(1)(x+y)²=x²+y²+2xy
25=23+2xy
xy=1
(x-y)²=(x+y)²-4xy=25-4=21
(2)4a²-4a+1+9b²+12b+4=0
(2a-1)²+(3b+2)²=0
2a-1=0,a=1/2
3b+2=0,b=-2/3
(3)a²+a+1=0 a²=-a-1
a³+2a²+2a+3=aa²+2a²+2a+3=a(-a-1)+2a²+2a+3=-a²-a+2a²+2a+3=a²+a+3=（a²+a+1)+2=2