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Question
Find the expression to be added with 5a – 3b – 2c to get a – 4b – 2c?
Solution
To get the required expression we must subtract 5a – 3b + 2c from a – 4b – 2c.
∴ a – 4b – 2c – (5a – 3b + 2c)
= a – 4b – 2c + (– 5a + 3b – 2c)
= a – 4b – 2c – 5a + 3b – 2c
= (1 – 5)a + (– 4 + 3)b + (– 2 – 2)c
= – 4a – b – 4c
∴ – 4a – b – 4c must be added.
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