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Algebra/multinomial expansion

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Question
expansion
expansion  
Sir I am a 16 yr old eleventh standard student.Sir I am having problem in the questions in the image.Plzzzz give clear and explanatory solutions.If there are any formulas or shortcuts of these questions,plzzz tell.

Answer
1. (1+3x+3x^2+x^3)^6 = [(1+x)^3]^6 = (1+x)^18 which has 19 terms
2. the coefficient is 2520
3. The sum is (-3)^2163
4. I presume you mean the number of terms dependent on x which is 2n
I got a friend to help me and I'll send you the explanations if you send me an e-mail to
raridon@hotmail.com and put expansion in the subject line.  

Algebra

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