A) \[-{{a}^{2}}+ab+{{b}^{2}}-2\]
B) \[{{a}^{2}}+ab+{{b}^{2}}+2\]
C) \[{{a}^{2}}-ab-{{b}^{2}}+2\]
D) \[{{a}^{2}}-ab-4{{b}^{2}}-2\]
Correct Answer: A
Solution :
(a): Let subtrahend be 'a? Then \[\left( 3{{a}^{2}}-6ab-3{{b}^{2}}-1 \right)-A\] \[=\left( 4{{a}^{2}}-7ab-4{{b}^{2}}+1 \right)\] \[\Rightarrow A=[3{{a}^{2}}-6ab-3{{b}^{2}}-1)-\left( 4{{a}^{2}}-7ab-4{{b}^{2}}+1 \right)\] and proceed.
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