expand ( 1 - x ) ^6
using binomial theorem

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(1-x)^6=6C0-6C1x+6C2 x^2-6C3 x^3+ 6C4 x^4-6C5 x^5+ 6C6 x^6 = 1-6x +15x^2 -20x^3 +15x^4 -6x^5 + x^6
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I hope this will help you.

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