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7th Class Mathematics Sample Paper Sample Paper - Maths - 1

  • question_answer
    The sum of \[{{\operatorname{x}}^{4}}-xy+2{{y}^{2}}\,\,and\,\,-{{x}^{4}}+xy+2{{y}^{2}}\] is

    A) monomial and polynomial in y           

    B) binomial and polynomial

    C) trinomial and polynomial                    

    D) monomial and polynomial in x

    Correct Answer: A

    Solution :

    Sol. (a)           \[\operatorname{Required}\,\,sum = \{{{x}^{4}}-xy+2{{y}^{2}})+\left( -{{x}^{4}}+ xy+2{{y}^{2}} \right)\] \[= {{x}^{4}}-xy+2{{y}^{2}}-{{x}^{4}}\,+ xy+2{{y}^{2}}\] \[=\,\,[({{x}^{4}}+(-{{x}^{4}})]+\{-xy+xy)+(2{{y}^{2}}+2{{y}^{2}})\] \[= \,0+ 0+4{{y}^{2}}\] \[=4{{y}^{2}}\] \[=4{{y}^{2}}\] is a monomial and polynomial in y.


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