Simplify:(a + b + c) (a + b – c)

1.	Simplify:(a + b + c) (a + b – c)
Answer» (a + b + c) (a + b – c) = a (a + b – c) + b (a + b – c) + c (a + b – c) = a² + ab – ac + ab + b² – bc + ac + bc – c² = a² + b² – c² + 2ab

Answer»

(a + b + c) (a + b – c)

= a (a + b – c) + b (a + b – c) + c (a + b – c)

= a² + ab – ac + ab + b² – bc + ac + bc – c²

= a² + b² – c² + 2ab

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