7th Class Mathematics Algebraic Expressions Question Bank Algebraic Expressions

  • question_answer
    lf \[A=10{{w}^{3}}+20{{w}^{2}}-55w+60,\] \[B=-\text{ }25{{w}^{2}}+15w-10\]and            \[C=5{{w}^{2}}-10w+20,\] then \[A+B-C\]is equal to _____.

    A)  \[10{{w}^{3}}+10{{w}^{2}}+30w+30\]

    B)  \[10{{w}^{3}}+10{{w}^{2}}-30w+30\]

    C)  \[10{{w}^{3}}-10{{w}^{2}}-30w+30\]

    D)              None of these

    Correct Answer: C

    Solution :

    \[A+B-C=(10{{w}^{3}}+20{{w}^{2}}-55w+60)\] \[+(-25{{w}^{2}}+15w-10)-(5{{w}^{2}}-10w+20)\] Bring all the like terms together, we get \[A+B-C=10{{w}^{3}}+(20{{w}^{2}}-25{{w}^{2}}-5{{w}^{2}})\] \[+(-55w+15w+10w)+(60-10-20)\] \[=10{{w}^{2}}-10{{w}^{2}}-30w+30\]


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