4x四次方-4x²+1因式分解

4x四次方-4x²+1因式分解
4x四次方-4x²+1因式分解

4x四次方-4x²+1因式分解
4x四次方-4x²+1
=(2x²)²-2×2x²+1
=(2x²-1)²
=[(x√2)+1][(x√2)-1]

4x2(x2-1)+1=4x2(x+1)(x-1)+1

（2x²-1）²=（√2x+1）²（√2x-1）²

（根号下2 x-1）^2（根号下2 x+1）^2

4x4 -4x²+1

= (2x2-1)2