Gujarat BoardEnglish MediumSTD 9MathsFactorization Of Algebraic Expressions [NEW]2 Marks
Question
Factorize: a2 - b2 + 2bc - c2
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Answer
a2 - b2 + 2bc - c2 a2 - (b2 - 2bc + c2) Using the identity (a - b)2 = a2 + b2 - 2ab = a2 - (b - c)2 Using the identity a2 - b2 = (a + b)(a - b) = (a + b - c)(a - (b - c)) = (a + b - c)(a - b + c) $\therefore$ a2 - b2 + 2bc - c2 = (a + b - c)(a - b + c)
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