9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    Factorise:\[ab{{(a+b)}^{2}}-3ab(a+b)\]

    A)  \[(a+b)(a-b)ab\]

    B)  \[(a+b-5)(2a+b)(a-b)\]

    C)  \[ab(a+b)(a+b-3)\]

    D)  \[ab(2a-b)(2a+b-6)\]

    Correct Answer: C

    Solution :

    \[ab{{(a+b)}^{2}}-3ab(a+b)\] Here \[{{(a+b)}^{2}}\]is a common factor. So, \[ab{{(a+b)}^{2}}-3ab(a+b)\] \[=ab(a+b)(a+b-3)\]


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