Subjects algebra

Rational Expression A7E2Ec

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Rational Expression A7E2Ec


1. The problem is to simplify or understand the expression $\frac{7}{2 - y}$. 2. This is a rational expression where 7 is the numerator and $2 - y$ is the denominator. 3. Important rule: The denominator cannot be zero because division by zero is undefined. So, $2 - y \neq 0$, which means $y \neq 2$. 4. The expression $\frac{7}{2 - y}$ is already in simplest form unless you want to rewrite it differently. 5. For example, you can factor out a negative sign from the denominator: $$\frac{7}{2 - y} = \frac{7}{-(y - 2)} = -\frac{7}{y - 2}$$ 6. This form might be useful depending on the context, but both are equivalent. 7. Final answer: $$\frac{7}{2 - y} \quad \text{or} \quad -\frac{7}{y - 2}$$ Remember, $y \neq 2$ to keep the expression defined.