Math, asked by riyassareena1975, 6 months ago

consider the expansionof (x+1/x)^10.
1. The number of terms in expansion is ___.
2. Find the term which is indipendent of x in the above expansion​

Answers

Answered by tamra710
1

Answer:

ANSWER

(1−2x+x

2

)(x+

x

1

)

10

=(x+

x

1

)

10

−2x(x+

x

1

)

10

+x

2

(x+

x

1

)

10

For (x+

x

1

)

10

T

r+1

=

10

C

r

x

10−2r

Then the coefficient of term independent of x will be the sum of the coefficient of x independent terms in (x+

x

1

)

10

, 2x(x+

x

1

)

10

and x

2

(x+

x

1

)

10

Therefore

(x+

x

1

)

10

−2x(x+

x

1

)

10

+x

2

(x+

x

1

)

10

=

10

C

5

+0+

10

C

6

...(0 since there are no independent terms in 2x(x+

x

1

)

10

)

=

10

C

5

+

10

C

6

=

11

C

5

Answer B

Step-by-step explanation:

if my answer is correct so plz mark me as a brainlist

Similar questions