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Question
Simplify.
(a + b + c) (a + b − c)
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Solution
(a + b + c) (a + b − c)
= a (a + b − c) + b (a + b − c) + c (a + b − c)
= a2 + ab − ac + ab + b2 − bc + ca + bc − c2
= a2 + b2 − c2 + (ab + ab) + (bc − bc) + (ca − ca)
= a2 + b2 − c2 + 2ab
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