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posted by Shane on Tuesday, August 6, 2013 at 11:54pm.

Expand (1-x)^4. Hence find S if S = (1-x^3)^4 - 4(1-x^3)^3 + 6 (1-x^3)^2 - 4(1-x^3) + 1.

S = (1-(1-x^3))^4 = (x^3)^4 = x^12

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