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

  • question_answer
    Find the missing term in the following problem. \[{{\left( \frac{3x}{4}-\frac{4y}{3} \right)}^{2}}=\frac{9{{x}^{2}}}{16}+\frac{16{{y}^{2}}}{9}+\underline{\,\,\,\,\,\text{?}\,\,\,\,\,}\]

    A)  2xy                             

    B)  -2xy   

    C)  12xy   

    D)         -12xy

    Correct Answer: B

    Solution :

    We have, \[{{\left( \frac{3x}{4}-\frac{4y}{3} \right)}^{2}}\] \[={{\left( \frac{3x}{4} \right)}^{2}}+{{\left( \frac{4y}{3} \right)}^{2}}-2\times \frac{3x}{4}\times \frac{4y}{3}\] \[=\frac{9{{x}^{2}}}{16}+\frac{16{{y}^{2}}}{9}+(-2xy)\]


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