1-x的8次幂和1-x的16次幂,哪个能用平方差公式?都能用那结果分别是啥呢?

1-x⁸
=(1+x⁴)(1-x⁴)
=(1+x⁴)(1+x²)(1-x²)
=(1+x⁴)(1+x²)(1+x)(1-x)
1-x¹⁶
=(1+x⁸)(1-x⁸)
=(1+x⁸)(1+x⁴)(1-x⁴)
=(1+x⁸)(1+x⁴)(1+x²)(1-x²)
=(1+x⁸)(1+x⁴)(1+x²)(1+x)(1-x)