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If a and B Denote the Sum of the Coefficients in the Expansions of ( 1 − 3 X + 10 X 2 ) N and ( 1 + X 2 ) N Respectively, Then Write the Relation Between a and B. - Mathematics

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प्रश्न

If a and b denote the sum of the coefficients in the expansions of \[\left( 1 - 3x + 10 x^2 \right)^n\]  and \[\left( 1 + x^2 \right)^n\]  respectively, then write the relation between a and b.

 
 
 

उत्तर

\[Here, \]
\[a = 1 - 3 + 10 = 8 = 2^3 \]
\[b = 1 + 1 = 2\]
\[ \Rightarrow a = b^3\]

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Introduction of Binomial Theorem
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पाठ 18: Binomial Theorem - Exercise 18.3 [पृष्ठ ४५]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 18 Binomial Theorem
Exercise 18.3 | Q 9 | पृष्ठ ४५

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