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What is the simplified expression of Xy/-2y?

a. -X/2
b. -X
c. X/2
d. X

1 Answer

2 votes

Final answer:

The simplified expression of Xy/-2y is -X/2. The term y cancels out since it is present in both numerator and denominator, and X is then divided by -2. correct option is A.

Step-by-step explanation:

To simplify the expression Xy/-2y, you initially look for any common factors that are present both in the numerator and the denominator. Here, the variable y is present in both and can be canceled out. After canceling the y terms, you're left to divide X by -2, which yields the simplified expression of -X/2. However, since there's not an option for -X/2 among the choices you provided and assuming it's a typo, -X is the correct simplified form, being option b.

Here's a step-by-step simplification process:

  1. Begin with the original expression: Xy/-2y.
  2. Cancel out the common term y in both numerator and denominator.
  3. Expression simplifies to X/-2.
  4. The final simplified expression is -X/2 (or -X if we adjust for the provided options).

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