Add the following:
(i) $x - 3 y - 2 z 5 x + 7 y - 8 z 3 x - 2 y + 5 z$
(ii) $4 a b - 5 b c + 7 c a - 3 a b + 2 b c - 3 c a 5 a b - 3 b c + 4 c a$

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Solution

(i) Required expression = (x - 3y - 2z) + (5x +7y - 8z) +(3x - 2y + 5z)
Collecting positive and negative like terms together, we get
x + 5x + 3x - 3y + 7y - 2y - 2z - 8z + 5z
= 9x - 5y + 7y - 10z + 5z
= 9x + 2y - 5z

(ii) Required expression = (4ab - 5bc + 7ca) + (- 3ab + 2bc - 3ca ) + (5ab - 3bc + 4ca)
Collecting positive and negative like terms together, we get
4ab - 3ab + 5ab - 5bc + 2bc - 3bc + 7ca - 3ca + 4ca
= 9ab - 3ab - 8bc + 2bc + 11 ca - 3ca
= 6ab - 6bc + 8ca

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