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Question
The sum of two expressions is 3a2 + 2ab – b2. If one of them is 2a2 + 3b2, find the other.
Sum
Solution
(3a2 + 2ab − b2) − (2a2 + 3b2)
= 3a2 + 2ab − b2 − 2a2 − 3b2
= 3a2 − 2a2 + 2ab − b2 − 3b2
= a2 + 2ab − 4b2
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