Please explain point no vii?

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Answer 1 · 2018-04-25T06:44:18

Please see the explanation below

#{((1+x)^0=1 ),(n=1), (m=0), (S=nm+1=1):}#

#{((1+x)^1=1+x),(n=1), (m=1), (S=nm+1=1xx1+1=2):}#

#{((1+x)^2=1+2x+x^2),(n=1), (m=2), (S=nm+1=1xx2+1=3):}#

#{((1+x)^3=1+3x+3x^2+x^3),(n=1), (m=3), (S=nm+1=1xx3+1=4):}#

#{((1+x+x^2)^1=1+x+x^2),(n=2), (m=1), (S=nm+1=2xx1+1=3):}#

And so on

You can also make a proof by induction