Find the constant term (term independent of x) in the expansion of:
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Solution :
Given ,
Tr+1 = 10Cr (√x )^10-r ( -3/x² )^r
= 10Cr × ( -3 )^r × [ x ^(10-r)/2- 2r ]
To find the term independent of x ,
put
(10-r)/2 - 2r = 0
=> (10-r -4r )/2 = 0
=> 10 - 5r = 0
=> -5r = -10
=> r = ( -10 )/( -5 )
=> r = 2
Therefore ,
T2+1 = T3
= 10C2 ( -3 )²
= 45 × 9
= 405
•••••
=> -2r = (
Given ,
Tr+1 = 10Cr (√x )^10-r ( -3/x² )^r
= 10Cr × ( -3 )^r × [ x ^(10-r)/2- 2r ]
To find the term independent of x ,
put
(10-r)/2 - 2r = 0
=> (10-r -4r )/2 = 0
=> 10 - 5r = 0
=> -5r = -10
=> r = ( -10 )/( -5 )
=> r = 2
Therefore ,
T2+1 = T3
= 10C2 ( -3 )²
= 45 × 9
= 405
•••••
=> -2r = (
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