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Let S=(x−1)4+4(x−1)3+6(x−1)2+4(x−1)+1\displaystyle S={ \left( x-1 \right) }^{ 4 }+{ 4\left( x-1 \right) }^{ 3 }{ +6\left( x-1 \right) }^{ 2 }+4\left( x-1 \right) +1S=(x−1)4+4(x−1)3+6(x−1)2+4(x−1)+1. Then S equals:
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