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7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    Simplify: \[({{a}^{3}}-2{{a}^{2}}+4a-5)-(-{{a}^{3}}-8a+2{{a}^{2}}+5)\]

    A)  \[2{{a}^{3}}+7{{a}^{2}}+6a-10\]

    B)  \[2{{a}^{3}}+7{{a}^{2}}+12a-10\]

    C)  \[2{{a}^{3}}-4{{a}^{2}}+12a-10\]

    D)  \[2{{a}^{3}}-4{{a}^{2}}+6a-10\]

    Correct Answer: C

    Solution :

    \[({{a}^{3}}-2{{a}^{2}}+4a-5)-(-{{a}^{3}}-8a+2{{a}^{2}}+5)\] \[={{a}^{3}}-2{{a}^{2}}+4a-5+{{a}^{3}}+8a-2{{a}^{2}}-5\] \[=2{{a}^{3}}-4{{a}^{2}}+12a-10\]


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