Home
Class 11
MATHS
Simplify: x^5+10 x^4a+40 x^3a^2+80 x^2a^...

Simplify: `x^5+10 x^4a+40 x^3a^2+80 x^2a^3+80 x a^4+32 a^5dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

Factorise : 3x^5 - 6x^4 - 2x^3 + 4x^2 + x-2

Simplify: 9x^4(2x^3-5x^4)xx5x^6(x^4-3x^2)

Simplify: x^3y(x^2-2x)+2x y(x^3-x^4)

Simplify: (5-x)(3-2x)(4-3x)

Simplify: x^2-3x+5-1/2(3x^2-5x+7)

Simplify : 15x-[8x^2 + 3x^2 - {8x^2 - (4-2x-x^3)-5x^3}-2x]

Simplify: (x^3-2x^2+5x-7)(2x-3)

Simplify: (2x^2+3x-5)(3x^2-5x+4)

Simplify: 2x^2(x^3-x)-3x(x^4+2x)-2(x^4-3x^2)

Simplify: x(x+4)+3x(2x^2-1)+4x^2+4

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find a if the 7th and 18th terms of the expansion (2+a)^(50) are equal...

    Text Solution

    |

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

    Text Solution

    |

  3. Simplify: x^5+10 x^4a+40 x^3a^2+80 x^2a^3+80 x a^4+32 a^5dot

    Text Solution

    |

  4. Find the value of (18^3+7^3+3xx18xx7xx25) /(3^6+6xx243xx2+15xx18xx4+20...

    Text Solution

    |

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

    Text Solution

    |

  6. If for n in N ,sum(k=0)^(2n)(-1)^k(^(2n)Ck)^2=A , then find the value...

    Text Solution

    |

  7. There are two bags each of which contains n balls. A man has to sele...

    Text Solution

    |

  8. Find the sum sum(i=0)^r.^(n1)C(r-i) .^(n2)Ci .

    Text Solution

    |

  9. Prove that sum(r=0)^(2n)(r. ^(2n)Cr)^2=n^(4n)C(2n) .

    Text Solution

    |

  10. If k a n d n are positive integers and sk=1^k+2^k+3^k++n^k , then prov...

    Text Solution

    |

  11. Prove that sum(r=1)^n(-1)^(r-1)(1+1/2+1/3++1/r)^n Cr=1/n .

    Text Solution

    |

  12. Prove that (C1)/1-(C2)/2+(C3)/3-(C4)/4++((-1)^(n-1))/n Cn=1+1/2+1/3++1...

    Text Solution

    |

  13. Prove that sum(r=0)^n^n Crsinr xcos(n-r)x=2^(n-1)sin(n x)dot

    Text Solution

    |

  14. Find the last two digits of the number (23)^(14)dot

    Text Solution

    |

  15. Find the last two digits of the number 27^(27)dot

    Text Solution

    |

  16. Find the number of nonzero terms in the expansion of (1+3sqrt(2)x)^9+(...

    Text Solution

    |

  17. Find the value of (sqrt(2)+1)^6-(sqrt(2)-1)^6dot

    Text Solution

    |

  18. Using binomial theorem (without using the formula for .^n Cr) , prove ...

    Text Solution

    |

  19. Prove that .(r+1)*^n Cr-r*^n Cr+ ... +(-1)^r.^n Cr=(-1)^r.^(n-2)Crdot

    Text Solution

    |

  20. Find the sum .^n C0+^n C4+^n C8 + . . .

    Text Solution

    |