Q. 39 A5.0( 2 Votes )

# Find the two middle terms in the expansion of :

(x^{2} + a^{2})^{5}

Answer :

For (x^{2} + a^{2})^{5},

a= x^{2}, b= a^{2} and n=5

As n is odd, there are two middle terms i.e.

I. and II.

General term t_{r+1} is given by,

I. The first, middle term is

Therefore, for the 3^{rd} middle term, r=2

Therefore, the first middle term is

= 10. a^{4}. x^{6}

II. The second middle term is

Therefore, for the 4^{th} middle term, r=3

Therefore, the second middle term is

………

= 10. a^{6}. x^{4}

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