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Write the Number of Terms in the Expansion of ( 1 − 3 X + 3 X 2 − X 3 ) 8 - Mathematics

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प्रश्न

Write the number of terms in the expansion of \[\left( 1 - 3x + 3 x^2 - x^3 \right)^8\]

 

उत्तर

\[\text{ The given expression is } (1 - 3x + 3 x^2 - x^3 )^8 . \text{ It can be written as } [(1 - x )^3 ]^8 i . e . (1 - x )^{24} \]
\[\text{ Hence, the number of terms is }  \left( 24 + 1 \right) i . e . 25\]

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Rth Term from End
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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 3 | पृष्ठ ४५

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