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Algebraic Expressions & Identities Test - 1

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Algebraic Expressions & Identities Test - 1
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Multiply 4x4 + x3 + yby 2x2 + y.

    Solution

    (4x4 + x3 + y2) (2x2 + y)

    = 2x(4x4 + x3 + y2) + y(4x4 + x3 + y2)

    = 8x6 + 2x5 + 2x2y2 + 4x4y + x3y + y3

     

  • Question 2
    1 / -0

    Which of the following is not a standard identity for algebraic expressions? (Where a and b are two variables)

    Solution

    If a and b are any two variables then,
    (a - b)3 = a3 - b3 - 2ab is not a correct identity.
    Therefore, identity in option 4 is not a standard identity.

     

  • Question 3
    1 / -0

    Square of (4y - 2xy) is

    Solution

    (4y - 2xy)2

    We know: (a - b)2 = a+ b- 2ab

    = (4y)2 + (2xy)2 - 2(4y)(2xy)

    = 16y2 + 4x2y2 - 16xy2

     

  • Question 4
    1 / -0

    The product of (2xy + 3x2 + 6xy2) and (x2 + y) is

    Solution

    (2xy + 3x2 + 6xy2) (x2 + y)

    = (x2) (2xy + 3x2 + 6xy2) + y(2xy + 3x2 + 6xy2)

    = 2x3y + 3x4 + 6x3y2 + 2xy2 + 3x2y + 6xy3

     

  • Question 5
    1 / -0

    What should be subtracted from 6x2 + 4y + 8 to get 3x2 + 10y + 4 as the result?

    Solution

    Subtract 3x2 + 10y + 4 from 6x2 + 4y + 8 i.e.

    6x2 + 4y + 8

    (-)3x2 + (-)10y +(-) 4

    -------------------------

    3x- 6y + 4

    -------------------------

     

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