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Simplify (A + B + C) (A + B − C) - CBSE Class 8 - Mathematics

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Question

Simplify (a + b + c) (a + b − c)

Solution

(a + b + c) (a + b − c)

= a (a + b − c) + b (a + b − c) + c (a + b − c)

= a2 + ab − ac + ab + b2 − bc + ca + bc − c2

= a2 + b2 − c2 + (ab + ab) + (bc − bc) + (ca − ca)

= a2 + b2 − c2 + 2ab

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 9: Algebraic Expressions and Identities
Ex. 9.40 | Q: 3.8 | Page no. 148
Solution Simplify (A + B + C) (A + B − C) Concept: Multiplying a Polynomial by a Polynomial - Multiplying a Binomial by a Trinomial.
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