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9th Class Mathematics Polynomials Question Bank Polynomials

  • question_answer
    he factors of the expression \[\mathbf{4}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+4xy+}{{\mathbf{y}}^{\mathbf{2}}}\] is

    A)  \[\left( 2x+y \right)\left( 2x+y \right)\] 

    B)  \[\left( 2x+y \right)\left( 2x-y \right)\]

    C)  \[\left( 2x-y \right)(2x-y)\]           

    D)  \[\left( 2x+x \right)\left( 2y+x \right)\]

    Correct Answer: A

    Solution :

    (a): \[4{{x}^{2}}+4xy+{{y}^{2}}=4{{x}^{2}}+2xy+2xy+{{y}^{2}}\] \[=2x\left( 2x+y \right)+y\left( 2x+y \right)=\left( 2x+y \right)\left( 2x+y \right)\]     


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