First slide
Multinomial expansion
Question

 The first three terms in the expansion of 1+x+x210 are 

Moderate
Solution

 1+x+x210=10C0(1+x)10+10C1(1+x)9x2+..=1+10C1x+10C2x2+..+101+9C1x+9C2x2+..x2=1+10x+55x2+..

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