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Mechanical Vs Smart Appraoch

Algebra Level 2

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

\[\displaystyle {\left( x+1 \right) }^{ 4 }\] none of these \[\displaystyle { x }^{ 4 }\] \[\displaystyle {\left( x-1 \right) }^{ 4 }\]

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by Soumo Mukherjee

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