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Simplify: A(B − C) + B(C − A) + C(A − B) - Mathematics

Answer in Brief

Simplify: a(b − c) + b(c − a) + c(a − b)

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Solution

To simplify, we will use distributive law as follows:​ 

\[a\left( b - c \right) + b\left( c - a \right) + c\left( a - b \right)\]

\[ = ab - ac + bc - ba + ca - cb \]

\[ = ab - ba - ac + ca + bc - cb\]

\[ = 0\]

Concept: Multiplication of Algebraic Expressions
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APPEARS IN

RD Sharma Class 8 Maths
Chapter 6 Algebraic Expressions and Identities
Exercise 6.4 | Q 20.06 | Page 21
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