Home
Class 14
MATHS
The value of [(a^2-b^2)^3+(b^2-c^2)^3 + ...

The value of `[(a^2-b^2)^3+(b^2-c^2)^3 + (c^2-a^2)^3] div [(a-b)^3+(b-c)^3+(c-a)^3 ]` is equal to: (Given `a ne b ne c`)
`[(a^2-b^2)^3+(b^2-c^2)^3 + (c^2-a^2)^3] div [(a-b)^3+(b-c)^3+(c-a)^3 ]` का मान बराबर है: (`a ne b ne c` दिया)

A

`(a+b)(b+c)(c+a)`

B

`(a^2-b^2)+(b^2-c^2) + (c^2-a^2)`

C

`(a^2+b^2)+(b^2+c^2) + (c^2+a^2)`

D

`(a-b)(b-c)(c-a) `

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2018 Main Exam 2nd Shift

    PINNACLE|Exercise EXERCISE|280 Videos

  • AVERAGE

    PINNACLE|Exercise EXERCISE|164 Videos

Similar Questions

Explore conceptually related problems

Simplify : ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify: ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify: ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify: ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Simplify ((a^(2)-b^(2))^(3)+(b^(2)-c^(2))^(3)+(c^(2)-a^(2))^(3))/((a-b)^(3)+(b-c)^(3)+(c-a)^(3))

Prove that |[a,b,c] , [a^2,b^2,c^2] , [a^3,b^3,c^3]|= abc(a-b)(b-c)(c-a)

One of the factor of (a-2b)^(3)+(2a-c)^(3)-(a+2c)^(3)-3(a+2b)(2a-c)(a+2c)

PINNACLE-ALGEBRA-EXERCISE
  1. Find the value of x, if 21^(sqrtx)+20^(sqrtx)=29^(sqrtx). X का मान ...

    Text Solution

    |

  2. If a = 2b, then the value of (a+b)/(a-b) is: यदि a = 2b , तो (a+b)/(...

    Text Solution

    |

  3. The value of [(a^2-b^2)^3+(b^2-c^2)^3 + (c^2-a^2)^3] div [(a-b)^3+(b-c...

    Text Solution

    |

  4. If x^4+1/x^4=14159,then the value of x+1/x is: x^4+1/x^4=14159, फिरx+...

    Text Solution

    |

  5. If a-b = 18 and a^3-b^3=324, then find ab. यदि a-b = 18 और a^3-b^3=...

    Text Solution

    |

  6. If x-1/x=13, then the value of x^2+1/x^2 is: यदि x-1/x=13 है, तोx^2+...

    Text Solution

    |

  7. If A =(x-1)/(x+1)then, the value of A-1/A is: यदि A =(x-1)/(x+1) तो...

    Text Solution

    |

  8. If 27(x+y)^3-8(x-y)^3=( x+ 5y)(Ax^2+By^2 +Cxy), then what is the value...

    Text Solution

    |

  9. Given that x^8-34x^4+1=0, x>0, What is the value of (x^3+x^-3) ? दिय...

    Text Solution

    |

  10. If 3x^2-5x+1=0, then the value of (x^2+ 1/(9x^2)) is : यदि 3x^2-5x+1...

    Text Solution

    |

  11. If 9x^2+y^2=37 and xy = 2 , x, y> 0 , then the value of (27x^3+y^3) is...

    Text Solution

    |

  12. The value of (0.0203xx2.92)/(0.7xx0.0365xx 2.9) div ((12.12)^2-(8.12)^...

    Text Solution

    |

  13. If a + b + c = 7 and a^3+b^3+c^3-3abc =175, then what is the value of ...

    Text Solution

    |

  14. If x^2+4y^2=17 and xy = 2 , where x>0, y>0, then what is the value of ...

    Text Solution

    |

  15. If (x+y)^3+8(x-y)^3=(3x+Ay)(3x^2+Bxy+ Cy^2), then the value of A+B+C i...

    Text Solution

    |

  16. If 2x^2-7x+5=0, then what is the value of x^2+25/(4x^2) ? यदि 2x^2-7...

    Text Solution

    |

  17. If x-1/x = 5, x ne 0, then what is the value of frac(x^6 + 3x^3 - 1)(x...

    Text Solution

    |

  18. The value of (27xx(0.25)^3+125(0.05)^3) /((0.75)^2-0.25xx0.5) is : ...

    Text Solution

    |

  19. If (8+2 sqrt3)/(3 sqrt3+5)=a sqrt3-b, then the value of a + b is equal...

    Text Solution

    |

  20. If x+16/x=8, then the value of x^2+32/x^2 is: यदि x+16/x=8,तोx^2+32/...

    Text Solution

    |