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Question
Find the sum of the following expressions
u + v, u – v, 2u + 5v, 2u – 5v
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Solution
(u + v) + (u – v) + (2u + 5v) + (2u – 5v)
= u + v + u – v + 2u + 5v + 2u – 5v
= u + u + 2u + 2u + v – v + 5v – 5v
= (1 + 1 + 2 + 2)u + (1 – 1 + 5 – 5)v
= 6u + 0v
= 6u
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