question_answer

Subtract the sum of \[-3{{x}^{3}}{{y}^{2}}+2{{x}^{2}}{{y}^{3}}\] and \[-3{{x}^{2}}{{y}^{3}}\] \[-5{{y}^{4}}\] from\[{{x}^{4}}+{{x}^{3}}{{y}^{2}}+{{x}^{2}}{{y}^{3}}+{{y}^{4}}\].

Answer:

 \[-3{{x}^{3}}{{y}^{2}}+2{{x}^{2}}{{y}^{3}}\]         \[\frac{-3{{x}^{3}}{{y}^{2}}-{{y}^{3}}}{\underline{-3{{x}^{3}}{{y}^{2}}-{{x}^{2}}{{y}^{3}}-5{{y}^{4}}}}\] Sum \[=-3{{x}^{3}}{{y}^{2}}-{{x}^{2}}{{y}^{3}}-5{{y}^{4}}\]                                                                         Now,   \[{{x}^{4}}+{{x}^{3}}{{y}^{2}}+{{x}^{2}}{{y}^{3}}+{{y}^{4}}\]     \[-3{{x}^{3}}{{y}^{2}}-{{x}^{2}}{{y}^{3}}-5{{y}^{4}}\]    Difference = \[\frac{\left( + \right)~~\left( + \right)~\,\,\,\,\left( + \right)}{\underline{{{x}^{4}}+4{{x}^{3}}{{y}^{2}}+2{{x}^{2}}{{y}^{3}}+6{{y}^{4}}}}\]