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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities2 Marks
Question
Simplify: $(a + b + c)(a + b - c)$
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Answer

$ (a+b+c)(a+b-c) $
$ =a(a+b-c)+b(a+b-c)+c(a+b-c) $
$ =a^2+a b-a c+a b+b^2-b c+a c+b c-c^2 $
$ =a^2+a b+a b-a c+a c-b c+b c+b^2-c^2 $
$ =a^2+b^2-c^2+2 a b $

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