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Question

Question 3(vii)
Simplify:
(a+b+c)(a+b-c)


Solution

(a+b+c)(a+bc)=a(a+bc)+b(a+bc)+c(a+bc)
=a2+abac+ab+b2bc+ac+bcc2
=a2+ab+abac+acbc+bc+b2c2
=a2+b2c2+2ab

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