Factorize A2 + 2ab + B2 - C2 - Mathematics

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Factorize a2 + 2ab + b2 - c2

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Solution

Using identity a2  + 2ab + b2  = (a + b)2

= (a + b)2 - c2

Using identity a2 - b2 = (a + b)(a - b)

= (a + b + c)(a + b - c )

∴ a2  + 2ab + b2 - c2  = (a + b + c)(a + b - c)

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Chapter 5: Factorisation of Algebraic Expressions - Exercise 5.1 [Page 9]

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RD Sharma Mathematics for Class 9
Chapter 5 Factorisation of Algebraic Expressions
Exercise 5.1 | Q 10 | Page 9

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