A) \[\left( 3{{x}^{2}}+ {{y}^{2}}+ 2xy \right)\]
B) \[(3{{x}^{2}}-{{y}^{2}}-2xy)\]
C) \[-\left( 3{{x}^{2}}+ {{y}^{2}}+ 2xy \right)\]
D) \[\left( -3{{x}^{2}}+ {{y}^{2}}+ 2xy \right)\]
E) None of these
Correct Answer: B
Solution :
Explanation \[\left( {{x}^{2}}+ {{y}^{2}}+ xy \right) + \left( 4{{x}^{2}}+ 4xy \right) +A = 2{{x}^{2}}+ 3xy\]\[\Rightarrow \,\, \left( 5{{x}^{2}}+ 5xy + {{y}^{2}} \right) + A\,\,= 2{{x}^{2}}+ 3xy\] \[\Rightarrow \,\,\,\operatorname{A}=2{{x}^{2}}\,+3xy-(5{{x}^{2}}+5xy+{{y}^{2}})\] \[= \,- \left( 3{{x}^{2}}+ 2xy + {{y}^{2}} \right).\] \[\left( 3{{x}^{2}}- {{y}^{2}}- 2xy \right)\]
You need to login to perform this action.
You will be redirected in
3 sec
