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

  • question_answer
    The product of \[({{x}^{2}}+3x+5)\] and \[({{X}^{2}}-1)\] is______.

    A)  \[{{x}^{4}}+3{{x}^{3}}-4{{x}^{2}}-3x-5\]

    B)  \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\]

    C)  \[{{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}+3x-5\]

    D)  \[{{x}^{4}}+{{x}^{3}}+x+5\]

    Correct Answer: B

    Solution :

    \[({{x}^{2}}+3x+5)({{x}^{2}}-1)\] \[={{x}^{4}}-{{x}^{2}}+3{{x}^{3}}-3x+5{{x}^{2}}-5\] Grouping like terms, we get, \[{{x}^{4}}+3{{x}^{3}}-{{x}^{2}}+5{{x}^{2}}-3x-5\] \[={{x}^{4}}+3{{x}^{3}}+4{{x}^{2}}-3x-5\].


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