Home
Class 9
MATHS
The product (x^2-1)(x^4+x^2+1) is equal ...

The product `(x^2-1)(x^4+x^2+1)` is equal to:
(a)`x^8-1`
(b) `x^8+1`
(c) `x^6-1`
(d) `x^6+1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|206 Videos

Similar Questions

Explore conceptually related problems

lim_(x to 1//2) (8x^(3) - 1)/(16 x^(4) - 1) is equal to

int(5x^8+7x^6)/(x^2+1+2x^7)^2dx is equal to (a) x/(x^2+1+2x^7)+C (b) x^7/(x^2+1+2x^7)+C (c) x^6/(x^2+1+2x^7)+C (d) x^2/(x^2+1+2x^7)+C

If x=3-sqrt(8), then x^3+1/(x^3) is equal to (a)6 (b) 198 (c) 6sqrt(2) (d) 102

The coefficient of x^70 in the product (x-1)(x^2-2)(x^3-3)....(x^12-12) is (a) 4 . (b) 6 (c) 8 (d) 12

int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx is equal to (a) (sqrt(2x^4-2x^2+1))/(x^3)+C (b) (sqrt(2x^4-2x^2+1))/x+C (c) (sqrt(2x^4-2x^2+1))/(x^2)+C (d) (sqrt(2x^4-2x^2+1))/(2x^2)+C

If x >1 , then 2\ tan^(-1)x+sin^(-1)((2x)/(1+x^2)) is equal to (a) 4tan^(-1)x (b) 0 (c) pi/2 (d) pi

If the third term in expansion of (1+x^(log_2x))^5 is 2560 then x is equal to (a) 2sqrt2 (b) 1/8 (c) 1/4 (d) 4sqrt2

If the third term in expansion of (1+x^(log_2x))^5 is 2560 then x is equal to (a) 2sqrt2 (b) 1/8 (c) 1/4 (d) 4sqrt2

Ifint_(log2)^x(dy)/(sqrt(e^y-1))=pi/6,"then " x " is equal to" (a)4 (b) 1n 8 (c) 1n 4 (d) none of these

d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (a) (x^2-1)/(x^2-4) (b) 1 (c) (x^2+1)/(x^2-4) (d) e^x(x^2-1)/(x^2-4)

RD SHARMA ENGLISH-ALGEBRAIC IDENTITIES-All Questions
  1. If x^3-1/(x^3)=14 , then x-1/x=? (a)5 (b) 4 (d) 3 (d) 2

    Text Solution

    |

  2. If x^4+1/(x^4)=194 , find x^3+1/(x^3),x^2+1/(x^2) and x+1/x

    Text Solution

    |

  3. If x-1/x=(15)/4, then x+1/x\ =? (a)4 (b) (17)/4 (c) (13)/4\ ...

    Text Solution

    |

  4. If 3x+2/x=7, then (9x^2-4/(x^2))=? (a)25 (b) 35 (c) 49 (d) 30

    Text Solution

    |

  5. If a^2+b^2+c^2-a b-b c-c a=0, then (a)a+b=c (b) b+c=a (c)c+a=b ...

    Text Solution

    |

  6. If a+b+c=0 , then (a^2)/(b c)+(b^2)/(c a)+(c^2)/(a b)=?\ (a)0 (b...

    Text Solution

    |

  7. If a^(1/3)+\ b^(1/3)+\ c^(1/3)=0 , then+? (a)a+b+c=0 (b) (a+b+c)^3=...

    Text Solution

    |

  8. If a+b+c=9 and a b+b c+c a=23 , then a^2+b^2+c^2=? (a)35 (b) 58 ...

    Text Solution

    |

  9. If a+b+c=9 and a b+b c+c a=23 , then a^3+b^3+c^3-3a b c=? (a)108 (b) ...

    Text Solution

    |

  10. (a-b)^3 + (b-c)^3 + (c-a)^3=? (a)(a+b+c)(a^2+b^2+c^2-ab-bc-ac) (b)3(...

    Text Solution

    |

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

    Text Solution

    |

  12. The product (a+b)(a-b)(a^2-a b+b^2)(a^2+a b+b^2) is equal to: (a)a^6+...

    Text Solution

    |

  13. If a/b+b/a=\ -1, then a^3-b^3=? (a)1 (b) -1 (c) 1/2 (d) 0

    Text Solution

    |

  14. The product (x^2-1)(x^4+x^2+1) is equal to: (a)x^8-1 (b) x^8+1 ...

    Text Solution

    |

  15. If a-b=-8\ \ a n d\ \ a b=-12 , then a^3-b^3=? (a)-244 (b) -240 ...

    Text Solution

    |

  16. If Lt(x to a)(x^(9)-a^(9))/(x-a)=Lt(xto5)(x+4) then all possible value...

    Text Solution

    |

  17. If a/b+b/a=1, then a^3+b^3=? (a)1 (b) -1 (c) 1/2 (d) 0

    Text Solution

    |

  18. 75 \xx\ 75+2 \xx\ 75 \xx\ 25+25 \xx\ 25 is equal to=? (a)10000      ...

    Text Solution

    |

  19. (x−y)(x+y)(x^2+y^2)(x^4+y^4) is equal to=

    Text Solution

    |

  20. If 49 a^2-b=(7a+1/2)\ \ (7a-1/2), then the value of b is =? (a)0 (...

    Text Solution

    |