Home
Class 14
MATHS
The remainder when x^4-y^4 is divided by...

The remainder when `x^4-y^4` is divided by x-y is :

A

0

B

x+y

C

`x^2-y^2`

D

`2y^4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos

  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

Suppose p(x) is a polynomial with integer coefficients.The remainder when p(x) is divided by x-1 is 1 and the remainder when p(x) is divided cby x-4 is 10. If r(x) is the remainder when p(x) is divided by (x-1)(x-4) then find the value of r(2006)

Suppose p(x) is a polynomial with integer coefficients.The remainder when p(x) is divided by x-1 is 1 and the remainder when p(x) is divided cby x-4 is 10. If r(x) is the remainder when p(x) is divided by (x-1)(x-4) then find the value of r(2006)

Find the quotient and the remainder when x^4 + 1 is divided by x-1.

If x+9y is divisible by 5, where x and y are integers ,then what is the remainder when 8x+7y is divided by 5 ?

Find the remainder when x^(5) is divided by x^(3)-4x

Find the remainder when x^(3)+4x^(2)+4x-3 is divided by x

If x is the remainder when 3^61284 is divided by 5 and y is the remainder when 4^96 is divided by 6, then what is the value of (2x-y)? यदि x, 3^61284 को 5 से विभाजित करने पर आने वाला शेषफल है तथा y, 4^96 को 6 से विभाजित करने पर आने वाला शेषफल है, तो (2x-y) का मान क्या है ?

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Find the remainder when 2^0+2^1+2^2+...+2^255 is divided by 255.

    Text Solution

    |

  2. Among the expression (1 - 3p), [1 - (3P)^(2)], [1 - (3P)^(3)] and [1 -...

    Text Solution

    |

  3. The remainder when x^4-y^4 is divided by x-y is :

    Text Solution

    |

  4. If x-1/x=2, then the value of x^4+1/x^4 is :

    Text Solution

    |

  5. If the sum and the product of two numbers are 25 and 144 respectively ...

    Text Solution

    |

  6. The sum of two numbers is 9 and the sum of their squares is 41.The num...

    Text Solution

    |

  7. The square root of 625

    Text Solution

    |

  8. The value of ((119)^2 + (119)(111) + (111)^2)/((119)^3 - (111)^3) is :

    Text Solution

    |

  9. Simplify : ((1.5)^(3)+(4.7)^(3)+(3.8)^(3)-3xx1.5xx4.7xx3.8)/((1.5)^(2)...

    Text Solution

    |

  10. Simplified value of (8.73 xx 8.73 xx 8.73 + 4.27 xx 4.27 xx 4.27)/(8.7...

    Text Solution

    |

  11. The expression (a+b-c)^3+(a-b+c)^3- 8a^3 is equal to: व्यंजक (a+b-c)...

    Text Solution

    |

  12. If a+b+c=11, a^2+b^2+c^2=51,what is the value of ab+bc+ac?

    Text Solution

    |

  13. If x + y + z = 0, then the value of (x^2)/(yz) + (y^2)/(zx) + (z^2)/(x...

    Text Solution

    |

  14. If(x+1/x)=5,then x^3+1/x^3 equals :

    Text Solution

    |

  15. The value of((e^x+e^-x)/2)^2-((e^x-e^-x)/2)^2 is :

    Text Solution

    |

  16. The continued product of (1 + x), (1 + x^2), (1 + x^4), (1 + x^8) and ...

    Text Solution

    |

  17. Find the value of i^(63).

    Text Solution

    |

  18. Find the value of i^(170).

    Text Solution

    |

  19. Find the value of 1/(1^(123)).

    Text Solution

    |

  20. Find the value of sqrt(-16) xx sqrt(-25).

    Text Solution

    |