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Addition and Subtraction of Algebraic Expressions

h Add the fol...

Question

Question 57 (h)

Add the following expression:

$a^{2} + 3 a b - b c, b^{2} + 3 b c - c a a n d c^{2} + 3 c a - a b$

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Solution

We have,
$(a^{2} + 3 a b - b c) + (b^{2} + 3 b c - c a) + (c^{2} + 3 c a - a b)$
On combining the like terms,
$= a^{2} + 3 a b - b c + b^{2} + 3 b c - c a + c^{2} + 3 c a - a b = a^{2} + b^{2} + c^{2} + 3 a b - a b - b c + 3 b c - c a + 3 c a = a^{2} + b^{2} + c^{2} + 2 a b + 2 b c + 2 c a$

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Addition and Subtraction of Algebraic Expressions

Standard VII Mathematics

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