Home
Class 11
MATHS
Expand (2X + 5Y)^(5)...

Expand `(2X + 5Y)^(5)`

Text Solution

Verified by Experts

The correct Answer is:
N/a
`(2x+y)^(5)`
`=overset(5)underset(r=0)(Sigma).^(5)C_(r)(2x)^(5-r).y^(r)`
`=.^(5)C_(0)(2x)^(5)+^(5)C_(1)(2x)^(4).Y^(1)+^(5)C_(2)(2x)^(3).Y^(2)`
`+^(5)C_(3)(2x)^(2).Y^(3)+^(5)C_(4)(2x)^(1).Y^(4)+^(5)C_(5).Y^(5)`
`=1.32x^(5)+5.16x^(4)y+10.8x^(3)y^(2)+10.4x^(2)y^(3)`
`+5.2xy^(4)+1.^(5)`
`=32x^(5)+80x^(4)Y+80x^(3)y^(2)+40x^(2)y^(3)+10xy^(4)+y^(5).`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8A|22 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 8B|38 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Expand: (3x-2y + 5z)^(2)

Expand (2+ x)^(5) - (2- x)^(5) in ascending powers of x and simplify your result.

Expand : (2x- y + 2)^(3)

Expand (3x^2- x/2)^5

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

Expand (y+x)^2

Expand: (5x-3y-2)^(2)

Expand: (x+y- z)^(2)

Expand: (x-2y+2)^(2)

Expand : (iv) (x + 5y)^3

NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Miscellaneous Exericse
  1. Expand (2X + 5Y)^(5)

    Text Solution

    |

  2. Find a, b and n in the expansion of (a+b)^nif the first three terms ...

    Text Solution

    |

  3. If the coefficients of x^2a n d\ x^3 in the expansion o (3+a x)^9 are ...

    Text Solution

    |

  4. Find the coefficient of a^4 in the product (1+a)^4(2-a)^5 using binomi...

    Text Solution

    |

  5. If a and b are distinct integers, prove that a - b is a factor of a^n-...

    Text Solution

    |

  6. Evaluate (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6dot

    Text Solution

    |

  7. Find the value of (a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4.

    Text Solution

    |

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

    Text Solution

    |

  9. Find n, if the ratio of the fifth term from the beginning to the fi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Find a, b and n in the expansion of (a+b)^nif the first three terms ...

    Text Solution

    |

  13. If the coefficients of x^2a n d\ x^3 in the expansion o (3+a x)^9 are ...

    Text Solution

    |

  14. Find the coefficient of x^5 in the expansion of (1 + 2x)^6 (1-x)^7.

    Text Solution

    |

  15. If a and b are distinct integers, prove that a - b is a factor of a^n-...

    Text Solution

    |

  16. Evaluate (sqrt(3)+sqrt(2))^6-(sqrt(3)-sqrt(2))^6dot

    Text Solution

    |

  17. Find the value of (a^2+sqrt(a^2-1))^4+(a^2-sqrt(a^2-1))^4.

    Text Solution

    |

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

    Text Solution

    |

  19. Find n, if the ratio of the fifth term from the beginning to the fi...

    Text Solution

    |

  20. Expand using Binomial Theorem (1+x/2-2/x)^4,x!=0.

    Text Solution

    |

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

    Text Solution

    |