Q. 39 A5.0( 2 Votes )

Find the two middle terms in the expansion of :

(x2 + a2)5

Answer :

For (x2 + a2)5,


a= x2, b= a2 and n=5


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


I. and II.


General term tr+1 is given by,



I. The first, middle term is


Therefore, for the 3rd middle term, r=2


Therefore, the first middle term is







= 10. a4. x6


II. The second middle term is


Therefore, for the 4th middle term, r=3


Therefore, the second middle term is





………



= 10. a6. x4


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