Question

What is the number of terms in the expansion of (a? - 2ab + b2)^10?​

Answer 1

Answer:

21

Step-by-step explanation:

((a+b)^2)^10

(a+b)20

no. of terms =n+1

21

Answer 2

The required number of terms in the given expansion is 21.

Step-by-step explanation:

The given expansion is:

$(a^2-2ab+b^2)^{10}$

To find, the total number of terms in the given expansion = ?

∴ $(a^2-2ab+b^2)^{10}$

$=[(a+b)^2]^{10}$

$=(a+b)^{2\times 10}$

Using the identity,

$(a^{m})^n=a^{mn}$

$=(a+b)^{20}$

Here, n = 20

∴ The total number of terms in the given expansion = n + 1

= 20 + 1

= 21

Thus, the required number of terms in the given expansion is 21.