Home
Class 14
MATHS
(a+ b + c- d)^2-(a-b-c+d)^2 =?...

`(a+ b + c- d)^2-(a-b-c+d)^2` =?

A

`4a(b+d-c)`

B

` 4a(b-d+c)`

C

`2a(b+c-d)`

D

` 2a(a+b-c)`

Text Solution

Verified by Experts

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

If   ( a -5 )^2 + ( b - c )^2 + ( c - d )^2 + ( b + c + d - 9 )^2 = 0 , then find the value of ( a + b + c ) ( b + c + d ) is

The positive square root of ((a + b) ^(2) - (c + d) ^(2))/( (a + b) ^(2) - (c - d ) ^(2)) xx ((a + b + c) ^(2) - d ^(2))/( (a + b -c ) ^(2 ) - d ^(2)) using factorisation is:

If a,b,c,d are in G.P., then the value of (a-c)^2+(b-c)^2+(b-d)^2-(a-d)^2 is (A) 0 (B) 1 (C) a+d (D) a-d

a, b are the real roots of x2+ px +1-0 and c, d are the real roots of 2 x + qx + 1 = 0 then (a-c)(h-c)(a + d)(b + d) is divisible by n) a+b+c+d (b) a +b-c-d (d) a -b-c-d (c) a-b+c-d

If a,b,c,d………are in G.P., then show that (a-b)^2, (b-c)^2, (c-d)^2 are in G.P.

if (2a+3b+4c+5d)/(2a-3b-4c-5d)=(2a-3b+4c-5d)/(2a-3b-4c+5d) , then show that a,3b,2c and 5d are in proportion.

If a, b, c, d are in GP, prove that (b-c)^(2)+(c-a)^(2)+(d-b)^(2)=(a-d)^(2) .

If (a-2b-3c+4d)(a+2b+3c+4d) = (a+2b-3c-4d)(a-2b+3c-4d) then 2ad =

PINNACLE-ALGEBRA-EXERCISE
  1. If x^4+x^2y^2+y^4=21 and x^2+xy+y^2= 7, then the value of (1/x^2+1/y^2...

    Text Solution

    |

  2. If x^2+3x+1=0, then what is the value of x^6+1/x^6 ? यदि x^2+3x+1=0 ...

    Text Solution

    |

  3. (a+ b + c- d)^2-(a-b-c+d)^2 =?

    Text Solution

    |

  4. The value of 27 a^3-2 sqrt2 b^3 is equal to : 27 a^3-2 sqrt2 b^3 का...

    Text Solution

    |

  5. If a+b+c = 11, ab+bc+ca = 3 and abc = -135, then what is the value of ...

    Text Solution

    |

  6. If 5x +1/(3x)=4, then what is the value of 9x^2+1/(25x^2) ? यदि 5x +...

    Text Solution

    |

  7. On simplification, (x^3-y^3)/(x[(x+y)^2-3xy]) div (y[(x-y)^2+3xy])/(x^...

    Text Solution

    |

  8. If P= (x^4-8x)/(x^3-x^2-2x), Q= (x^2+2x+1)/(x^2-4x-5) and R=(2x^2+4x+8...

    Text Solution

    |

  9. If a+b+c = 7 and ab+bc+ac= -6, then the value of a^3+b^3+c^3-3abc is: ...

    Text Solution

    |

  10. If 30x^2-15x+1=0, then what is the value of 25x^2+(36x^2)^-1 ? यदि 3...

    Text Solution

    |

  11. If x+y+z = 3 and x^2+y^2+z^2=101, then what is the value of sqrt(x^3+y...

    Text Solution

    |

  12. If 2x^2+y^2+8z^2-2 sqrt2 xy+4 sqrt2 yz-8zx=(Ax+y+Bz)^2, then the value...

    Text Solution

    |

  13. If 12x^2-21x+1=0, then what is the value of 9x^2+(16x^2)^-1 ? यदि 12...

    Text Solution

    |

  14. If P= (x^3+y^3)/((x-y)^2+3xy), Q= ((x+y)^2-3xy)/(x^3-y^3) and R=((x+y)...

    Text Solution

    |

  15. If 16a^4+36 a^2 b^2+81 b^4=91 and 4a^2 +9b^2-6ab=13, then what is the ...

    Text Solution

    |

  16. If x^2-2 sqrt5 x+1=0, then what is the value of x^5+1/x^5 ? यदि x^2-...

    Text Solution

    |

  17. If 20x^2-30x+1=0, then what is the value of 25x^2+1/(16x^2) ? यदि 20...

    Text Solution

    |

  18. If x^4+x^2y^2+y^4=273 and x^2-xy+y^2= 13, then the value of xy is : ...

    Text Solution

    |

  19. (x^2(x-4)^2)/((x+4)^2-4x) div ((x^2-4x)^3)/((x+4)^2) xx (64-x^3)/(16-x...

    Text Solution

    |

  20. (a+ b + c- d)^2-(a-b-c+d)^2 =?

    Text Solution

    |