Dividing rational expressions may have extra restrictions because the division of rational expressions involves multiplying the numerator of the first expression by the reciprocal of the second expression.
In the process of multiplying the two expressions, it is possible for certain values to result in a zero denominator in the product expression. This leads to division by zero, which is undefined in mathematics.
Therefore, when dividing rational expressions, additional restrictions need to be considered to ensure that the denominators in the resulting expression do not become zero. These restrictions can be determined by finding the values that make the original expressions undefined and excluding them from the domain of the resulting expression.
Explain why dividing rational expressions may have extra restrictions.
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