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8th Class Mental Ability Algebraic Expressions Question Bank Algebra

  • question_answer
    Which one of the following expressions is equal to \[\mathbf{64}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+9}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{-48xy}\]?

    A) \[{{\left( 8x+3y \right)}^{2}}\]         

    B)                    \[{{\left( 5x-y \right)}^{2}}\]

    C) \[{{\left( 8x-3y \right)}^{2}}\]   

    D)        \[{{\left( 5x-2y \right)}^{2}}\]

    E) None of these

    Correct Answer: C

    Solution :

    Explanation Option [c] is correct. \[64{{x}^{2}}+9{{y}^{2}}-48xy={{\left( 8x \right)}^{2}}+{{\left( 3y \right)}^{2}}-2.\,\,8x.\,\,3y={{\left( 8x-3y \right)}^{2}}\]     


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