Express as a single fraction in its simplest form: \(\dfrac{x-3}{x^2-6x+9}-\dfrac1{x+3}+\dfrac4{9-x^

Question

Express as a single fraction in its simplest form: $\dfrac{x-3}{x^2-6x+9}-\dfrac1{x+3}+\dfrac4{9-x^2}$. State the restrictions on the original expression.

Accepted Answer

$\dfrac{2}{\left(x - 3\right) \left(x + 3\right)}$ where $x - 3\ne0,\ x + 3\ne0$

Advanced fraction and index simplification

Advanced fraction and index simplification

Solution:

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