(1)x²-6x+9 (2)9(x+y)²-6(x+y)+1 (3)(a²+b²)²-4a²b²
(4)5mx²-10mxy+5my² (5)-2a³b²+8a²b²-8ab² (6)4(x+y)²+25-20(x+y)
(7) (a+2b)²-8a(a+2b)+16a² (8)1/3x²-2x+3
(9)利用公式法计算;2008²+2008X1984+992²
(10)已知x+y=1 求1/2x²+xy+1/2y²的值
(11)已知a²+b²+2a-4b+5=0 求2a²+4b-3的值
x²-6x+9 =(x-3)²
9(x+y)²-6(x+y)+1=[3(x+y)-1]²
(a²+b²)²-4a²b² =(a²+b²-2ab)(a²+b²+2ab)=(a-b)²(a+b)²
5mx²-10mxy+5my² =5m(x²-2xy+y²)=5m(x-y)²
-2a³b²+8a²b²-8ab² =-2ab²(a²-4a+4)=-2ab²(a-2)²
4(x+y)²+25-20(x+y)=[2(x+y)-5]²
(a+2b)²-8a(a+2b)+16a²=[(a+2b)-4a]²=(2b-3a)²
1/3x²-2x+3=1/3(x²-6x+9)=1/3(x-3)²
2008²+2008X1984+992²=(2008+992)²=3000²=9000000
x+y=1 求1/2x²+xy+1/2y²=1/2(x²+2xy+y²)=1/2(x+y)²=1/2x1²=1/2
a²+b²+2a-4b+5=0
(a+1)²+(b-2)²=0
a=-1,b=2
2a²+4b-3=2x(-1)²+4x2-3=2+8-3=7
x²-6x+9 =(x-3)² 9(x+y)²-6(x+y)+1=【3(x+y)-1】²
(a²+b²)²-4a²b² =(a²+b²-2ab)(a²+b²+2ab)=(a-b)²(a+b)²