解1:
x²-1-ax+a²=x²-ax+a²-1
=x(1-a)+(a+1)(a-1)
=x(1-a)-(a+1)(1-a)
=(1-a)(x-a-1)
解2:
x²-y²-4x+4=x²-4x+4-y²
=(x-2)²-y²
=(x-2+y)(x-2-y)
=(x+y-2)(x-y-2)
解3:
16+8xy-16x²-y²=16-(16x²-8xy+y²)
=16-[(4x)²-8xy+y²]
=16-(4x-y)²
=[4-(4x-y)][4+(4x-y)]
=(4-4x+y)(4+4x-y)
解4:
已知:x²-x-1=0,
求:-3x²+2x²+2008
此题似乎有问题,楼主确认没有抄写错误吗?