8th Class Mathematics Factorisation Question Bank Factorization

  • question_answer
    Which of the following is equal to \[{{\mathbf{x}}^{\mathbf{3}}}\left( \mathbf{a}-\mathbf{2b} \right)+{{\mathbf{x}}^{\mathbf{2}}}\left( \mathbf{a}-\mathbf{2b} \right).\]

    A)  \[{{x}^{2}}(a-2b)(x+1)\] 

    B)  \[\left( {{x}^{2}}-1 \right)\left( a-2b \right)\]

    C)  \[\left( {{x}^{2}}+1 \right)\left( a-2b \right)\left( x+1 \right)\]                     

    D)  \[x\left( a-2b \right)\left( x-1 \right)\]

    Correct Answer: A

    Solution :

    (a): \[{{x}^{3}}\left( a-2b \right)+{{x}^{2}}\left( a-2b \right)\] \[={{x}^{2}}\left( a-2b \right)\left[ x+1 \right]\]


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