Simplify: 6a2 + 3ab + 5b2 – 2ab – b2 + 2a2 + 4ab + 2b2 – a2

1.	Simplify: 6a2 + 3ab + 5b2 – 2ab – b2 + 2a2 + 4ab + 2b2 – a2
Answer» 6a² + 3ab + 5b² – 2ab – b² + 2a² + 4ab + 2b² – a² = (6a² + 2a² – a² ) + (3ab – 2ab + 4ab) + (5b² – b² + 2b² ) = [(6 + 2 – 1) a² ] + [(3 – 2 + 4)ab] + [(5 – 1 + 2)b² ] = 7a² + 5ab + 6b²

Answer»

6a² + 3ab + 5b² – 2ab – b² + 2a² + 4ab + 2b² – a²

= (6a² + 2a² – a² ) + (3ab – 2ab + 4ab) + (5b² – b² + 2b² )

= [(6 + 2 – 1) a² ] + [(3 – 2 + 4)ab] + [(5 – 1 + 2)b² ]

= 7a² + 5ab + 6b²

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