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

  • question_answer
    What should be added to \[4{{p}^{2}}+5p+7\] to get\[7{{p}^{2}}+2p+9?\]

    A)  \[3{{p}^{2}}-3p+2\]         

    B)  \[3{{p}^{2}}+3p+2\]

    C)         \[-3{{p}^{2}}+3p-2\]

    D)         \[3{{p}^{2}}-3p-2\]

    Correct Answer: A

    Solution :

    Let the expression to be added is x. \[\Rightarrow 4{{p}^{2}}+5p+7+x=7{{p}^{2}}+2p+9\] \[\Rightarrow x=7{{p}^{2}}+2p+9-4{{p}^{2}}-5p-7\] \[\Rightarrow x=3{{p}^{2}}-3p+2\] is the required expression.


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