simplify (a+b+c) (a+b-c)
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Step-by-step explanation:
(a+b+c)(a+b-c)
=a(a+b-c)+b(a+b-c)+c(a+b-c)
=(a×a)+(a×b)-(a×c)+(b×a)+(b×b)-(b×c)+(c×a)+(c×b)-(c×c)
=a2+ab - ac +ba+b2-bc+ca+ cb-c2
=a2+ab-ac+ab+b2-bc+ac+bc-c2
=a2+b2-c2+ab+ab-bc+bc-ac+ac
=a2+b2-c2+2ab.
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