Home
Class 11
MATHS
Find the number of terms in the expansio...

Find the number of terms in the expansions of the following: `(3x+y)^8`

Text Solution

Verified by Experts

For number of terms in any equation we have ` \ ^(n+r-1) C_n`
So we have
`=\ ^(8+2-1) C_8`
`=\ ^9 C_8`
`=9` terms
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

Find the number of terms in the expansions of the following: (2x-3y)^(9)

Find the number of terms in the expansions of the following: (2x+3y-4z)^(n)

Find the number of terms in the expansions of the following: (sqrt(x)+sqrt(y))^(10)+(sqrt(x)-sqrt(y))^(10)

Find the number of terms in the expansions of the following: (1+2x+x^(2))^(20)

Find the number of terms in the expansions of the following: (1+sqrt(2)x)^(9)+(1-5sqrt(2)x)^(9)

Find the number of terms in the expansion of (x^2 - y)^16

Find the number of terms in the expansion of (2/p +p/2)^8

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the number of terms in the expansions of the following: (1+3sqrt(...

    Text Solution

    |

  2. Find the number of terms in the expansions of the following: (sqrt(x)+...

    Text Solution

    |

  3. Find the number of terms in the expansions of the following: (3x+y)^8

    Text Solution

    |

  4. Find the number of terms in the expansions of the following: \ (2x+3y-...

    Text Solution

    |

  5. Find the number of terms in the expansions of the following:\ (1+2x+x^...

    Text Solution

    |

  6. Expand (2x-3y)^4 by binomial theorem.

    Text Solution

    |

  7. Using binomial theorem expand (1+x/2-2/x)^4,\ x!=0.

    Text Solution

    |

  8. Find the expansion of (3x^2-2a x+3a^2)^3 using binomial theorem.

    Text Solution

    |

  9. Using binomial theorem, expand (x-1/x)^(6)dot

    Text Solution

    |

  10. Find an approximation of (0. 99)^5 using the first three terms of its ...

    Text Solution

    |

  11. Using binomial theorem compute : (99)^5

    Text Solution

    |

  12. Using binomial theorem compute : (102)^6

    Text Solution

    |

  13. Using binomial theorem compute : (10. 1)^5

    Text Solution

    |

  14. Write down the binomial expansion of (1+x)^(n+1) , when x=8. Deduce th...

    Text Solution

    |

  15. Using binomial theorem, prove that 6^n-5n always leaves he remainder 1...

    Text Solution

    |

  16. Which is larger (1 0.1)^(100000)\ or 10,000?

    Text Solution

    |

  17. If a\ a n d\ b are distinct integers, prove that a^n-b^n is divisible ...

    Text Solution

    |

  18. Using binomial theorem, write down the expansion of (2x+3y)^5

    Text Solution

    |

  19. Using binomial theorem, write down the expansions of the following: (1...

    Text Solution

    |

  20. Using binomial theorem, write down the expansions of the following: ...

    Text Solution

    |