2x的2次方-4x+1因式分解

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2x的2次方-4x+1因式分解2x的2次方-4x+1因式分解2x的2次方-4x+1因式分解原式=2(x²-2x+1)-1=2(x-1)²-1=[√2(x-1)]²-1&#

2x的2次方-4x+1因式分解
2x的2次方-4x+1
因式分解

2x的2次方-4x+1因式分解
原式
=2(x²-2x+1)-1
=2(x-1)²-1
=[√2(x-1)]²-1²
=[√2(x-1)+1][√2(x-1)-1]
=(√2x+1-√2)(√2x-1-√2)

(2x)²-4x+1=(2x-1)²

2x²-4x+1
=2x²-4x+2-1
=2(x²-2x+1)-1
=2(x-1)²-1
=[√2(x-1)+1][√2(x-1)-1]
=(√2x-√2+1)(√2x-√2-1)