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Show that (A - B)(A + B) + (B - C) (B + C) + (C - A) (C + A) = 0 - Mathematics

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ConceptConcept of Identity

Question

Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0

Solution

L.H.S = (a - b) (a + b) + (b - c) (b + c) + (c - a) (c + a)

= (a2 - b2) + (b2 - c2) + (c2 - a2) = 0 = R.H.S

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APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 9: Algebraic Expressions and Identities
Ex. 9.5 | Q: 5.5 | Page no. 151

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Solution Show that (A - B)(A + B) + (B - C) (B + C) + (C - A) (C + A) = 0 Concept: Concept of Identity.
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