Add the following: |
(a) \[7{{a}^{2}}bc,-3ab{{c}^{2}},3{{a}^{2}}bc,2ab{{c}^{2}}\] |
(b) \[5{{x}^{2}}-3xy+4{{y}^{2}}-9,7{{y}^{2}}+5xy-2{{x}^{2}}+13\] |
Answer:
(a) \[7{{a}^{2}}bc+-3ab{{c}^{2}}+3{{a}^{2}}bc+2ab{{c}^{2}}\] \[\Rightarrow \,7{{a}^{2}}bc-3ab{{c}^{2}}+3{{a}^{2}}bc+2ab{{c}^{2}}\] \[\Rightarrow \,10{{a}^{2}}bc-ab{{c}^{2}}\] (b) \[\left[ 5{{x}^{2}}-3xy+4{{y}^{2}}-9 \right]+\left[ \text{ }7{{y}^{2}}+5xy-2{{x}^{2}}+13 \right]\] \[\Rightarrow \,5{{x}^{2}}-3xy+4{{y}^{2}}-9+7{{y}^{2}}+5xy-2{{x}^{2}}+13\] \[\Rightarrow \,3{{x}^{2}}+11{{y}^{2}}+2xy+4\]
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