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Question

The coefficient of x75in the expansion of (1+x2)40 (x2+2+1x2)5 is :

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Solution

x2+2+1x2=(x+1x)2
x40(x+1x)40(x+1x)5
x40(x+1x)405
x40(x+1x)35
x5(x2+1)35
35co=1


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