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help. find the constant term in the expansion of (1 + x )^10(1+ 1/x)^12

help. find the constant term in the expansion of (1 + x )^10(1+ 1/x)^12

Grade:11

2 Answers

Deepak Kumar Shringi
askIITians Faculty 4405 Points
3 years ago
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Mubashir ah
38 Points
3 years ago
In the expansion of (1+x)^10 we get the constant term as 1(by using the binomial theorem).now we have,(1+1/x)^12 =[ (x+1)/x]^12 = (x+1)^12/x^12in the expansion of (x+1)^12 we get the constant term 1 but the denominator x^12will make it variable term.so we have to choose such a term which will have the variable with the same power as in denominator.the term is x^12 , and then the constant term will be 1.when we multiply the constants of the expansions we will get the constant term as 1.

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