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7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    By how much is \[{{a}^{4}}+4{{a}^{2}}{{b}^{2}}+{{b}^{4}}\] more than \[{{a}^{4}}-8{{a}^{2}}{{b}^{2}}+{{b}^{4}}\]?

    A)  \[12{{a}^{2}}{{b}^{2}}\]         

    B)  \[-12{{a}^{2}}{{b}^{2}}\]                     

    C)  \[2{{a}^{4}}+2{{b}^{4}}\]       

    D)  \[10{{a}^{2}}{{b}^{2}}\]                      

    Correct Answer: A

    Solution :

    Required expression \[=({{a}^{4}}+4{{a}^{2}}{{b}^{2}}+{{b}^{4}})-({{a}^{4}}-8{{a}^{2}}{{b}^{2}}+{{b}^{4}})\] \[={{a}^{4}}+4{{a}^{2}}{{b}^{2}}+{{b}^{4}}-{{a}^{4}}+8{{a}^{2}}{{b}^{2}}-{{b}^{4}}=12{{a}^{2}}{{b}^{2}}\]


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