9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    The factors of the expression \[{{\mathbf{x}}^{\mathbf{2}}}\text{-}\frac{{{y}^{2}}}{100}\]is

    A)  \[\left( x-\frac{y}{10} \right)\left( x-\frac{y}{10} \right)\]   

    B)  \[\left( x+\frac{y}{10} \right)\left( x+\frac{y}{10} \right)\]

    C)  \[\left( y+\frac{x}{10} \right)\left( y+\frac{x}{10} \right)\]

    D)  \[\left( x+\frac{y}{10} \right)\left( x-\frac{y}{10} \right)\]

    Correct Answer: D

    Solution :

    (d) \[{{x}^{2}}-\frac{1}{{{y}^{2}}}={{x}^{2}}-{{\left( \frac{y}{10} \right)}^{2}}=\left( x+\frac{y}{10} \right)\left( x-\frac{y}{10} \right)\]


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