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Write the Number of Terms in the Expansion of [ ( 2 X + Y 3 ) 4 ] 7 . - Mathematics

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Question

Write the number of terms in the expansion of  \[\left[ \left( 2x + y^3 \right)^4 \right]^7\] .

 

Solution

In the binomial expansion of \[\left( a + b \right)^n\], total number of terms will be (n + 1).

Now, 

\[\left[ \left( 2x + y^3 \right)^4 \right]^7 = \left( 2x + y^3 \right)^{28}\]
Therefore, in the expansion of \[\left[ \left( 2x + y^3 \right)^4 \right]^7\] 

, total number of terms will be 28 + 1 = 29.

 
 
 
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Chapter 18: Binomial Theorem - Exercise 18.3 [Page 45]

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RD Sharma Mathematics [English] Class 11
Chapter 18 Binomial Theorem
Exercise 18.3 | Q 11 | Page 45

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