Home
Class 11
MATHS
Expand (x+(1)/(x) )^(6). ( x ne 0)...

Expand `(x+(1)/(x) )^(6). ( x ne 0)`

Text Solution

Verified by Experts

The correct Answer is:
N/a
`(x +(1)/(x))^(6)=^(6)C_(0)x^(6)((1)/(x))^(0)+^(6)C_(1)x^(5)((1)/(x))^(1)`
`+^(6)C_(2)x^(4)((1)/(x))^(2)+^(5)C_(3) x^(3)((1)/(xx))^(3)+^(6)C_(4)x^(2)((1)/(x))^(4)`
`+^(6)C_(5)x((1)/(x))^(5)+^(6)C_(6)x^(0)((1)/(x))^(6)`
`=^(6)C_(0).x^(6)+^(6)C_(1).x^(4)+^(6)C_(2).x^(2)+^(6)C_(3).1`
`+^(6)C_(4).(1)/(x^(2))+^(6)C_(5).(1)/(x^(4))+^(6)C_(6).(1)/(x^(6))`
`=1.x^(6)+(6)/(1).x^(4)+(6xx5)/(2xx1)x^(2)+(6xx5xx4)/(3xx2xx1)`
`+(6xx5)/(2xx1)(1)/(x^(2))+(6)/(1).(1)/(x^(4))+1.(1)/(x^(6))`
`=x^(6)+6x^(4)+15x^(2)+20+(15)/(x^(2))+(6)/(x^(4))+(1)/(x^(6))`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exericse 8.2|24 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8F|20 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Expand |(3,x),(x,1)|

Expand ((2)/( x) - (x)/(2))^(5), x ne 0 .

Expand |(2,2x),(6,x)|

Expand |(7x,6), (2x, 1)|

If f(x) = (1)/(1 -x) x ne 1 and g(x) = (x-1)/(x) , x ne0 , then the value of g[f(x)] is :

Expand |(2,0), (3x , 6)|

If a f(x) +b f((1)/(x))=(1)/(x)-5,x ne 0,a ne b , then overset(2)underset(1)int f(x)dx equals

Solve : sqrt((x)/(1-x))+sqrt((1-x)/(x))=2(1)/(6), x ne 0 "and" x ne 1 .

If f(x)= {{:(,(1)/(x)-(2)/(e^(2x)-1),x ne 0),(,1,x=0):}

f(x) ={{:( xe ^(-((1)/(x)+(1)/(|x|))), x ne 0),( a , x=0):} the value of a , such that f(x) is differentiable at x=0, is equal to