Question

Which of the following expressions are equivalent to (x+y) - (-z)? A. (x+y) - z B. x+ (y+z) C. None of the above

Answer 1

Answer: B. x+(y+z)

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Step-by-step explanation:

Subtracting a negative is the same as adding. Example: 2-(-3) = 2+3 = 5.

So (x+y)-(-z) is the same as x+y+z. We can group up terms inside parenthesis and it won't change the result. Meaning that x+y+z is the same as any of the following below

• (x+y)+z
• x+(y+z)

We could also swap the order of either x, y or z, and still have the same result.