Home
Class 9
MATHS
Factorize the following expression : ...

Factorize the following expression : `(2x-3y)^3+(4z-2x)^3+(3y-4z)^3`

Text Solution

Verified by Experts


If `a+b+c=0`, then `a^3+b^3+c^3=3abc`.
`(2x-3y)^3+(4z-2x)^3+(3y-4z)^3=3(2x-3y)(4z-2x)(3y-4z)`
`:.(2x-3y)^3+(4z-2x)^3+(3y-4z)^3=6(2x-3y)(2z-x)(3y-4z)`
Promotional Banner

Topper's Solved these Questions

  • EXPONENTS OF REAL NUMBER

    RD SHARMA|Exercise All Questions|186 Videos

  • FACTORIZATION OF POLYNOMIAL

    RD SHARMA|Exercise All Questions|220 Videos

Similar Questions

Explore conceptually related problems

Factorize: (2x-3y)^(3)+(4z-2x)^(3)+(3y-4z)^(3)

If x=1,y=-2 and z=3, find the values of each of the following algebraic expressions: x^(3)+y^(3)+z^(3)-3xyz3xy^(4)-15x^(2)y+4z

2x+3y+3z=5 x-2y+z=-4 3x-y-2z=3

x-y=3 2x+3y+4z=17 y+2z=7

Using matrices,solve the following system of equations: 2x-3y+5z=11,3x+2y-4z=-5,x+y-2z=-3

Factorize of the expression: a^(3)x+a^(2)(x-y)-a(y+z)-z

Factorise the expression (x+y+z)^(3)-x^(3)-y^(3)-z^(3) into linear factors

Factorize :(x-y)^(3)+(y-z)^(3)+(z-x)^(3)

Using matrices,solve the following system of equations: 2x+3y+3z=5;x-2y+z=-4;3x-y-2z=3

5x-[4y-{7x-(3z-2y)+4z-3(x+3y-2z)}]

RD SHARMA-FACTORIZATION OF ALGEBRAIC EXPRESSIONS-All Questions
  1. What are the possible expression for the dimensions of a cuboid whose ...

    Text Solution

    |

  2. If p=2-a , prove that a^3+6a p+p^3-8=0

    Text Solution

    |

  3. Factorize the following expression : (2x-3y)^3+(...

    Text Solution

    |

  4. Factorize : (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3

    Text Solution

    |

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

    Text Solution

    |

  6. 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

    |

  7. Find the value of x^3-8y^3-36 x y-216 , when x=2y+6.

    Text Solution

    |

  8. Factorize the following expression : x^4+x^2+1

    Text Solution

    |

  9. Factorize each of the following expressions: 2p(a-b)+3q(5a-5b)+4r(2a...

    Text Solution

    |

  10. Prove that : (a+b)^3+(b+c)^3+(c+a)^3-3(a+b)(b+c)(c+a)=2(a^3+b^3+c^3-3a...

    Text Solution

    |

  11. Factorize the following expression: 4a^2+12 a b+9b^2-8a-12 b

    Text Solution

    |

  12. Factorisation by grouping the terms: (x^2+3x)^2-5(x^2+3x)-y(x^2+3x)+5y

    Text Solution

    |

  13. Factorize each of the following expressions : 4a^2-9b^2-2a-3b

    Text Solution

    |

  14. Factorize each of the following algebraic expressions : x^8 - y^8 a...

    Text Solution

    |

  15. Factorize: (i) 8x^3+27 y^3+z^3-18 x y z, (ii) a^3-8b^3-64 c^3-24 a...

    Text Solution

    |

  16. Factorize : 64 a^3+125 b^3+240 a^2b+300 a b^2 8/(27)x^3+1+4/3x^2+2x...

    Text Solution

    |

  17. Examples based on the middle term concepts : (i) 4sqrt3 x^2 + 5x - 2sq...

    Text Solution

    |

  18. Factorize : (x^2-4x)(x^2-4x-1)-20

    Text Solution

    |

  19. Factorize : p^3(q-r)^3+q^3(r-p)^3+r^3(p-q)^3

    Text Solution

    |

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

    Text Solution

    |