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

  • question_answer
    Find the value of the product \[\left( 3+\frac{5}{x} \right)\left( 9-\frac{15}{x}+\frac{25}{{{x}^{2}}} \right)\] at \[x=1.\]

    A)  \[150\]                                

    B)  \[148\]                

    C)  \[152\]                                

    D)         \[146\]                

    Correct Answer: C

    Solution :

    At \[x=1,\] \[\left( 3+\frac{5}{x} \right)\,\left( 9-\frac{15}{x}+\frac{25}{{{x}^{2}}} \right)\] \[=\left( 3+\frac{5}{1} \right)\left( 9-\frac{15}{1}+\frac{25}{1} \right)\] \[=(3+5)\,(9-15+25)\] \[=8\times 19=152\]


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