解方程:
1.(x-3分之1)²-(x+3分之1)(x-3分之1)=3分之1
(x-1/3)^2-(x^2-1/9)=1/3
x^2-2x/3+1/9-x^2+1/9=1/3
2x/3=2/9-1/3=5/9
x=5/6
2.2(x+1)²-4(x+1)(x-1)=2(x-1)²
(x+1)^2-(x-1)^2=2(x^2-1)
(x+1+x-1)(x+1-x+1)=2(x^2-1)
2x=x^2-1
x^2-2x+1=0
(x-1)^2=0
x=1
3.(2+a)²(2-a)²(4+a²)²
=[(2+a)(2-a)(4+a^2)]^2
=[16-a^4]^2
4.一个长方形的长为(x+3)m,宽为(x-2)m,从中剪去一个边长为(x-2)m的正方形,则剩余部分的面积为:(x+3)(x-2)-(x-2)^2
=x^2+x-6-(x^2-4x+4)
=5x-10 m2