Question

Find the number of terms in following :

( 2x 3y )19
( 1 x2 2x )10

Answer 1

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⭐⭐ Here is ur answer ⭐⭐

The number of terms in the expansion of (a + b)n is n + 1.

So, number of terms in the expansion of (2x + 3y)19 = 19 + 1 = 20

 

(1 + x2 + 2x)20 = [(1 + x)2]20 = (1 + x)40

 

So, number of terms in expansion of (1 + x2 + 2x)20  = Number of terms in expansion of (1 + x)40 = 40 + 1 = 41

 

Cheers!!!

Answer 2

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The number of expansion = (a+B)n is n+1

So,


Number of terms in expansion = (2x+3y)19

=19+1

=20

(1+x2+2x)20

=[(1+x)2]20

=(1+x)40

Number of terms in expansion

(1+x)40

= 40+1

= 41

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