2a(x²+1²)-8ax²因式分解

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2a(x²+1²)-8ax²因式分解

2a(x²+1²)-8ax²因式分解
2a(x²+1²)-8ax²因式分解

2a(x²+1²)-8ax²因式分解
2a(x²+1)²-8ax²
=2a[(x²+1)²-4x²]
=2a[(x²+1)+2x][(x²+1)-2x]
=2a(x²+2x+1)(x²-2x+1)
=2a(x+1)²(x-1)²

2a[(x^2+1)-4x^2]=2a*(1-3x^2)=2a*(1+√3 x)(1-√3 x)