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Question

Simplify
(iv) 𝑥−(𝑥−𝑦)−𝑦−(𝑦−𝑥)

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Solution

Step: Simplify the given expression
x – (x – y) – y – (y – x)
= x – x + y – y – y + x
= x – x + x + y – y – y
= 0 + x + 0 – y
= x – y
Hence, the answer is x – y.

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