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Question
Add the following expressions:
a2 + 3ab – bc, b2 + 3bc – ca and c2 + 3ca – ab
Solution
We have, (a2 + 3ab – bc) + (b2 + 3bc – ca) + (c2 + 3ca – ab)
On combining the like terms,
= a2 + 3b – bc + b2 + 3bc – ca + c2 + 3ca – ab
= a2 + b2 + c2 + 3ab – ab – 3bc – ca + 3ca
= a2 + b2 + c2 + 2ab + 2bc + 2ca
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