Home
Class 9
MATHS
Expand each of the following (i)(sqrt(2...

Expand each of the following
(i)`(sqrt(2)x-3y)^2`
(ii) `(2x-1/(3x))^2`

Text Solution

Verified by Experts

(i)`(sqrt(2)x-3y)^2`
`2x^2+9y^2-6sqrt2 xy`
(ii) `(2x-1/(3x))^2`
`4x^2+1/(9x^2)-4/(3x)`
`
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos

Similar Questions

Explore conceptually related problems

Expand each of the following: ( i (3x+4y)^(2) (ii) (3x-4y)^(2)

Expand each of the following ((x)/(2)-(y)/(3))^(2) (iii) (x+5)(x-3)

Expand each of the following (i) (2x+5y)^(2) (ii) (x-3y)^(2) (iii) (x+5)(x-3)

Expand each of the following (3x+4y)^(2)( ii) (3x-4y^(2)

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) sqrt(x^(3)y^(-2))( iii) (x^(-(2)/(3))y^(-(1)/(2)))^(2)

Assuming that x,y,z are positive real numbers,simplify each of the following: (sqrt(x^(-3)))^(5) (ii) (sqrt(x))^(-(2)/(3))sqrt(y^(4))-:sqrt(xy^(-(1)/(2)))

Assuming that x,y,z are positive real numbers,simplify each of the following: sqrt(x^(-2)y^(3)) (ii) (x^(-(2)/(3))y^(-(1)/(2)))^(2)

Expand the following: (y^2 + 3x)^8

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Find the values of x and y from each of the following (i) (x+y,x-2y)-(7,1) (ii) (2x,x+3y)=(4,5)

RD SHARMA-ALGEBRAIC IDENTITIES-All Questions
  1. Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]

    Text Solution

    |

  2. Expand each of the following (i) (3x+4y)^2 (ii) (3x-4y)^2

    Text Solution

    |

  3. Expand each of the following (i)(sqrt(2)x-3y)^2 (ii) (2x-1/(3x))^2

    Text Solution

    |

  4. Expand each of the following (i)(x/2-y/3)^2 (ii) (x+5)(x-3)

    Text Solution

    |

  5. Find the products: (i)(2x+3y)\ (2x-3y)

    Text Solution

    |

  6. Find the products: (x-1/x)\ (x+1/x)(x^2+1/(x^2))\ (x^4+1/(x^4))

    Text Solution

    |

  7. Find the products: (i) (2x+y)(2x-y)(4x^2+y^2)

    Text Solution

    |

  8. Evaluate each of the following by using identities: (i)103 xx 97

    Text Solution

    |

  9. Evaluate each of the following by using identities: (i)(0. 99)^2 (...

    Text Solution

    |

  10. Evaluate each of the following by using identities: (i)0. 54 xx 0. 5...

    Text Solution

    |

  11. Evaluate each of the following by using identities: (i)95 xx 96 (...

    Text Solution

    |

  12. If x+(1)/(x)=6, find : x^2+ (1)/(x^2)

    Text Solution

    |

  13. If x+1/x=6, find : x^4+1/(x^4)

    Text Solution

    |

  14. If x^2+1/(x^2)=27 , find the value of each of the following: x+1/x

    Text Solution

    |

  15. If x^2+1/(x^2)=27 , find the value of each of the following: x-1/x

    Text Solution

    |

  16. If x+y=12 and x y=32 , find the value of x^2+y^2

    Text Solution

    |

  17. If 3x+2y=12 and x y=6 , find the value of 9x^2+4y^2

    Text Solution

    |

  18. If 4x^2+y^2=40\ and x y=6 , find the value of 2x+y

    Text Solution

    |

  19. Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]

    Text Solution

    |

  20. If : a^2+b^2+c^2-a b-b c-c a=0 , prove that a=b=c

    Text Solution

    |