8th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions and Identities

  • question_answer
    What is the difference obtained when \[{{x}^{3}}-x{{y}^{2}}+5{{x}^{2}}y-{{y}^{3}}\]is subtracted from \[-{{y}^{3}}-6{{x}^{2}}y-x{{y}^{2}}+{{x}^{3}}\]?

    A)  \[2{{y}^{3}}-8{{x}^{2}}y+3x{{y}^{2}}-2{{x}^{3}}\]

    B)  \[2{{x}^{3}}-2x{{y}^{2}}-{{x}^{2}}y-2{{y}^{3}}\]

    C)  \[-11{{x}^{2}}y\]

    D)  \[11{{x}^{2}}y\]

    Correct Answer: C

    Solution :

    \[\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\underset{-11{{x}^{2}}y}{\mathop{\underset{\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_}{\mathop{\begin{align}   & \,\,\,\,\,\,\,\,\,{{x}^{3}}-6{{x}^{2}}y-x{{y}^{2}}-{{y}^{3}} \\  & (-)\,\,\,\,{{x}^{3}}+5{{x}^{2}}y-x{{y}^{2}}-{{y}^{3}} \\ \end{align}}}\,}}\,}}\,\]


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