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Question

How much does a2 − 3ab + 2b2 exceed 2a2 − 7ab + 9b2?

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Solution

Required expression = (a2 - 3ab + 2b2) - (2a2 - 7ab + 9b2)
= a2 - 3ab + 2b2 - 2a2 + 7ab - 9b2
Collecting positive and negative like terms together, we get
= a2 - 2a2 - 3ab + 7ab + 2b2 - 9b2
= - a2 + 4ab - 7b2

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