8th Class Mathematics Factorisation Question Bank Factorization

  • question_answer
    Solve \[{{\left( \mathbf{a}+\mathbf{b} \right)}^{\mathbf{2}}}-{{\left( \mathbf{a}-\mathbf{b} \right)}^{\mathbf{2}}}\]

    A)  \[2ab\]                         

    B)  \[{{a}^{2}}+{{b}^{2}}\]         

    C)  \[2{{a}^{2}}+2{{b}^{2}}\]             

    D)  \[4ab\]

    Correct Answer: D

    Solution :

    (d): \[{{(a+b)}^{2}}-{{(a-b)}^{2}}=(a+\cancel{b}+a-\cancel{b})(\cancel{a}+b-\cancel{a}+b)\] \[=2a\times 2b=4ab.\]


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