8th Class Mathematics Algebraic Expressions - 854

  • question_answer 7)                 Complete the table of products.
    \[\frac{\text{First}\,\text{monomial}\,\to }{\text{Second}\,\text{monomial}\,\downarrow }\] \[2x\] \[-5y\] \[3{{x}^{2}}\] \[-4xy\] \[7{{x}^{2}}y\] \[-9{{x}^{2}}{{y}^{2}}\]
    \[2x\] \[4{{x}^{2}}\] - - - - -
    \[-5y\] - - \[-15{{x}^{2}}y\] - - -
    \[3{{x}^{2}}\] - - - - - -
    \[-4xy\] - - - - - -
    \[7{{x}^{2}}y\] - - - - - -
    \[-9{{x}^{2}}{{y}^{2}}\] - - - - - -

    Answer:

    \[\frac{\text{First}\,\text{monomial}\,\to }{\text{Second}\,\text{monomial}\,\downarrow }\] \[2x\] \[-5y\] \[3{{x}^{2}}\] \[-4xy\] \[7{{x}^{2}}y\] \[-9{{x}^{2}}{{y}^{2}}\]
    \[2x\] \[4{{x}^{2}}\] \[-10xy\] \[6{{x}^{3}}\] \[-8{{x}^{2}}y\] \[14{{x}^{3}}y\] \[-18{{x}^{3}}{{y}^{2}}\]
    \[-5y\] \[-10xy\] \[25{{y}^{2}}\] \[-15{{x}^{2}}y\] \[20x{{y}^{2}}\] \[-35{{x}^{2}}{{y}^{2}}\] \[45{{x}^{2}}{{y}^{3}}\]
    \[3{{x}^{2}}\] \[6{{x}^{3}}\] \[-15{{x}^{2}}y\] \[9{{x}^{4}}\] \[-12{{x}^{3}}y\] \[21{{x}^{4}}y\] \[-27{{x}^{4}}{{y}^{2}}\]
    \[-4xy\] \[-8{{x}^{2}}y\]  \[20x{{y}^{2}}\] \[-12{{x}^{3}}y\] \[16{{x}^{2}}{{y}^{2}}\] \[-28{{x}^{3}}{{y}^{2}}\] \[36{{x}^{3}}{{y}^{3}}\]
    \[7{{x}^{2}}y\] \[14{{x}^{3}}y\] \[-35{{x}^{2}}{{y}^{2}}\] \[21{{x}^{4}}y\] \[-28{{x}^{3}}{{y}^{2}}\] \[49{{x}^{4}}{{y}^{2}}\] \[-63{{x}^{4}}{{y}^{3}}\]
    \[-9{{x}^{2}}{{y}^{2}}\] \[-18{{x}^{3}}{{y}^{2}}\] \[45{{x}^{2}}{{y}^{3}}\] \[-27{{x}^{4}}{{y}^{2}}\] \[36{{x}^{3}}{{y}^{3}}\] \[-63{{x}^{4}}{{y}^{3}}\] \[81{{x}^{4}}{{y}^{4}}\]


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