Question 57 (c)

Add the following expression:

ab + bc + ca and - bc - ca - ab

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Solution

We have ab + bc + ca and - bc - ca - ab
= ab + bc + ca - bc - ca - ab
On combining the like terms,
= ab - ab + bc - bc + ca - ca
= 0 + 0 + 0
= 0

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Question 57 (h)

Add the following expression:

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

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

a b - b c, b c - c a, c a - a b

a b - b c, b c - c a, c a - a b

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