Home
Class 9
MATHS
Give possible expression for the len...

Give possible expression for the length and breadth of the rectangle whose area is given by `4a^(2)+4a-3.`

Text Solution

AI Generated Solution

To find possible expressions for the length and breadth of a rectangle given that its area is \(4a^2 + 4a - 3\), we need to factor the quadratic expression. ### Step-by-Step Solution: 1. **Identify the Area Expression**: The area of the rectangle is given by the polynomial: \[ A = 4a^2 + 4a - 3 ...
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEMS

    NCERT EXEMPLAR|Exercise SHORT ANSWER TYPE QUESTIONS|1 Videos
  • QUADRILATERALS

    NCERT EXEMPLAR|Exercise Quadrilaterals|56 Videos

Similar Questions

Explore conceptually related problems

Give possible expressions for the length and breadth of the rectangle whose area is 25a^(2)-35a+12

Give possible expressions for the length and breadth of the rectangle whose area is given as 16a^(2)-32a+15 square units , agt(5)/(4) .

Give possible expressions for the length and breadth of each of the following rectangles, in which their areas are given : (i) Area : 25a^(2)-35a+12 (ii) Area : 35y^(2)+13y-12

Give possible expressions for the length and breadth of each of the following rectangles,in which their areas are given: Area: 25a^(2)-35a+12 Area: 35y^(2)+13y-12 (ii)

Give possible expressions for the length and breath of each of the following rectangles, in which their areas are given : (i) area =25a^(2)-35a+12 " " (ii) " area"=35y^(2)+13y-12

Give possible expression for the side of the square whose area is given by (9x^(2)+24xy+16y^(2))

The length and breadth of a rectangle are doubled. Percentage increase in area is

Find the length of the rectangle whose area is 120 cm^(2) and breadth is 6 cm.

Give possible values for length,breadth and height of the cubical whose volume is 2x(6x3-4x)

NCERT EXEMPLAR-POLYNOMIALS-Polynomials
  1. if a +b+c=9 and ab+bc+ca=26,find a^(2)+b^(2)+c^(2).

    Text Solution

    |

  2. Expand the following (i) (3a-2b)^(3) (ii) ((1)/(x)+(y)/(3))^(3) (ii...

    Text Solution

    |

  3. Facorise the following (i) 1-64a^(3)-12+48a^(2) (ii) 8p^(3)+(12)...

    Text Solution

    |

  4. find the following products (i) ((x)/(2)+2y)((x^(2))/(4)-xy+4y^(2...

    Text Solution

    |

  5. Factorise (i) 1+64x^(3)" "(ii) a^(3)-2sqrt(2)b^(3)

    Text Solution

    |

  6. Find the product: (2x-y+3z)(4x^2+y^2+9z^2+2x y+3y z-6x z)

    Text Solution

    |

  7. Factorise (i) a^(3)+8b^(3)+64c^(3)-24abc (ii) 2sqrt(2)a^(3)+8b^(3)-2...

    Text Solution

    |

  8. without actually calculating , the cubes , find the valuse of ...

    Text Solution

    |

  9. Factorize : (x-2y)^3+(2y-3z)^3+(3z-x)^3

    Text Solution

    |

  10. Find the value of : (1) x^3 + y^3 -12xy + 64 when x+y+4=0 (2) x^3 ...

    Text Solution

    |

  11. Give possible expression for the length and breadth of the rec...

    Text Solution

    |

  12. If the polynomials az^3+4z^2+3z-4 and z^3-4z+a leave the same remainde...

    Text Solution

    |

  13. the polynomial p(x)=x^(4)-2x^(3)+3x^(2)-ax+3a -7 when divided by ...

    Text Solution

    |

  14. if both x-2 and x-(1)/(2) are factors of px^(2)+5x+r. then show ...

    Text Solution

    |

  15. Without actual division, prove that 2x^4-5x^3+2x^2-x+2 is exactly divi...

    Text Solution

    |

  16. Simplify :(2x-5y)^3-(2x+5y)^3

    Text Solution

    |

  17. Multiply: x^2+4y^2+z^2+2x y+x z-2y z\ by x-2y-z

    Text Solution

    |

  18. if a, and c are all non zero and a+b+c=0 , then find the value of...

    Text Solution

    |

  19. If a+b+c=5 and ab+bc+ca=10, then find a^3+b^3+c^3-3abc

    Text Solution

    |

  20. Prove that (a+b+c)^3 - a^3-b^3-c^3 = 3(a+b)(b+c)(c+a).

    Text Solution

    |