10th Class Mathematics Related to Competitive Exam Question Bank Algebra

  • question_answer
    Factors of\[16{{x}^{2}}-9{{(y+2x)}^{2}}\]are

    A)  \[(2x+3y)(10x+3y)\]

    B)  \[-(2x+3y)(10x+3y)\]  

    C) \[(2x+10y)(x+3y)\]

    D) \[-(2x+10y)(x+3y)\]

    Correct Answer: B

    Solution :

     \[16{{x}^{2}}-9{{(y+2x)}^{2}}={{(4x)}^{2}}-{{[3(y+2x)]}^{2}}\] \[=[4x+3(y+2x)][4x-3)(y+2x)]\] \[=(10x+3y)(-2x+3y)\] \[=-(2x+3y)(10+3y)\]


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