Home
Class 11
MATHS
The total number of terms in the expansi...

The total number of terms in the expansion of `(x+a)^100+(x-a)^100` is:

Text Solution

Verified by Experts

total terms are 101 of which 50 terms get cancelled.
the total number of terms in the expansion of
`=>(x+a)^{100}+(x-a)^{100}` is `51 .`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos

  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

The total number of terms in the expansion of (x + a)^(200) + (x - a)^(200) after simplification is

The total number of terms in the expansion of (x+a)^(51) - ( x-a)^(51) after simplification is

The total number of terms in the expansion of (x+a)^51 - (x - a)^51 after simplification is :

The total number of terms in the expansion of (x+2)^(102) + (x-2)^(102) , if similar terms are taken together are

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the sum of the coefficient of two middle terms in the binomial ...

    Text Solution

    |

  2. If a\ a n d\ b are the coefficients of x^n in the expansions of (1+x)^...

    Text Solution

    |

  3. The total number of terms in the expansion of (x+a)^100+(x-a)^100 is:

    Text Solution

    |

  4. If (1-x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n),\ find the value of a0+a2+a4...

    Text Solution

    |

  5. If the rth term in the expansion of (1+x)^20 has its coefficient equal...

    Text Solution

    |

  6. The term without x in the expansion (2x-1/(2x^2))^(12) is a. 495 b. -4...

    Text Solution

    |

  7. If rth term in the expansion of (2x^2-1/x)^(12) is without x then r is...

    Text Solution

    |

  8. If in the expansion of (a+b)^n\ a n d\ (a+b)^(n+3) , the ratio of the...

    Text Solution

    |

  9. If A and B are the sums of odd and even terms respectively in the expa...

    Text Solution

    |

  10. The number of irrational terms in the expansion of (4^(1/5)+7^(1/10))...

    Text Solution

    |

  11. The coefficient of x^(-17) in the expansion of (x^4-1/x^3)^(15) is

    Text Solution

    |

  12. In the expansion of (x^2-1/(3x))^9 the term without x is equal to a. (...

    Text Solution

    |

  13. If in the expansion of (1+x)^(15), the coefficients of (2r+3)^(th) a n...

    Text Solution

    |

  14. The middle term of the expansion of ((2x^2)/3+3/(2x^2))^(10) is a. 251...

    Text Solution

    |

  15. If in the expansion of (x^4-1/(x^3))^(15),\ x^(-17) occurs in rth term...

    Text Solution

    |

  16. In the expansion of (x-1/(3x^2))^9, the term independent of x is a. T3...

    Text Solution

    |

  17. If the coefficients of 5th, 6th , and 7th terms in the expansion of (1...

    Text Solution

    |

  18. Find the term independent o f x in the expansion of the following expr...

    Text Solution

    |

  19. If A and B respectively denote the sum of the odd terms and sum of the...

    Text Solution

    |

  20. If the coefficient of x in (x^2 +k/x)^5 is 270, then k=

    Text Solution

    |