(3+1)(x²+1)(3的4次方+1)(3的8次方+1)

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(3+1)(x²+1)(3的4次方+1)(3的8次方+1)
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(3+1)(x²+1)(3的4次方+1)(3的8次方+1)
(3+1)(x²+1)(3的4次方+1)(3的8次方+1)

(3+1)(x²+1)(3的4次方+1)(3的8次方+1)
(3+1)(3²+1)(3⁴+1)(3+1)
=½×2(3+1)(3²+1)(3⁴+1)(3+1)
=½(3-1)(3+1)(3²+1)(3⁴+1)(3+1)
用完全平方公式(a+b)(a-b)=a²-b²得到
=½(3²-1)(3²+1)(3⁴+1)(3+1)
连用公式,最后得到
=½(3-1)(3+1)
=½(3-1)
=3/2-½