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Do restrictions on variables remain the same after a rational expression is simplified?

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Final answer:

Yes, restrictions on variables remain the same after a rational expression is simplified.

Step-by-step explanation:

Yes, restrictions on variables do remain the same after a rational expression is simplified. When simplifying a rational expression, you are essentially canceling out common factors in the numerator and denominator. These common factors are considered restrictions on the variable. As long as you perform the same operation on both sides of the equals sign, the expression remains an equality.

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