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8th Class Mathematics Factorisation Question Bank Factorization

  • question_answer
    Factorize \[\mathbf{16}{{\mathbf{x}}^{\mathbf{2}}}-\mathbf{25}{{\mathbf{y}}^{\mathbf{2}}}\]

    A)  \[{{(4x-5y)}^{2}}\]                 

    B)  \[{{(4x+5y)}^{2}}\]       

    C)  \[\frac{4x+5y}{4x-5y}\]                       

    D)  \[\left( 4x+5y \right)(4x-5y)\]

    Correct Answer: D

    Solution :

    (d): \[16{{x}^{2}}-25{{y}^{2}}\] \[=~{{\left( 4x \right)}^{2}}-{{\left( 5y \right)}^{2}}=\left( 4x+5y \right)\left( 4x-5y \right).\]


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