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

1.	How much does a2 − 3ab + 2b2 exceed 2a2 − 7ab + 9b2?
Answer» By subtracting 2a²− 7ab + 9b²from a²− 3ab + 2b²we get the required expression 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

Answer»

By subtracting 2a²− 7ab + 9b²from a²− 3ab + 2b²we get the required expression

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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