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Simplify: 6a^2 + 3ab + 5b^2 – 2ab – b^2 + 2a^2 + 4ab + 2b^2 – a^2

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

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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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