7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    By how much is  \[{{x}^{4}}-4{{x}^{2}}{{y}^{2}}+{{y}^{4}}\]less than \[{{x}^{4}}+8{{x}^{2}}{{y}^{2}}+{{y}^{4}}\]?

    A)  \[-12{{x}^{2}}{{y}^{2}}\]

    B)                         \[12{{x}^{2}}{{y}^{2}}\]  

    C)  \[-12xy\]            

    D)         \[12xy\]

    Correct Answer: B

    Solution :

          \[\begin{align}   & {{x}^{4}}+8{{x}^{2}}{{y}^{2}}+{{y}^{4}} \\  & (-)\,\,{{x}^{4}}-4{{x}^{2}}{{y}^{2}}+{{y}^{4}} \\  & \underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{12\,{{x}^{2}}\,{{y}^{2}}}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{-\,\,\,\,\,\,\,\,+\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-}}\,}}\,}}\, \\ \end{align}\]


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