question_answer

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) \[7{{a}^{2}}bc+(\text{ }3\text{ }ab{{c}^{2}}+3{{a}^{2}}bc+2ab{{c}^{2}}\]

\[\Rightarrow 7{{a}^{2}}bc3ab{{c}^{2}}+3{{a}^{2}}bc+2ab{{c}^{2}}\]

\[\Rightarrow 10\text{ }{{a}^{2}}bcab{{c}^{2}}\]

(b) \[\left[ 5{{x}^{2}}3xy+4{{y}^{2}}\text{ }9 \right]+\left[ \text{ }7{{y}^{2}}+5xy2{{x}^{2}}+13 \right]\]

\[\Rightarrow 5{{x}^{2}}3xy+4{{y}^{2}}9+7{{y}^{2}}+5xy2{{x}^{2}}+13\]

\[\Rightarrow \,\,\,\,3{{x}^{2}}+11{{y}^{2}}+2xy+4\]