8th Class Mathematics Factorisation Question Bank Factorisation

  • question_answer
    Which of the following factorizations is incorrect?

    A)  \[200{{y}^{2}}-2=2(10y+1)\,(10y-1)\]

    B)  \[49{{x}^{2}}-36=(7x+6)\,(7x-6)\]

    C)  \[200{{y}^{2}}-2=2(10y+1)\,(10y+1)\]

    D)  \[36-100{{k}^{2}}=(6+10k)\,(6-10k)\]

    Correct Answer: C

    Solution :

    \[200\,\,{{y}^{2}}-2=2\,\,(100{{y}^{2}}-1)\] \[=2\,\,[\,{{(10y)}^{2}}-{{1}^{2}}]\]                 \[=2\,\,[(10y+1)\,\,(10y-1)]\]


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