Core stretch Simplify $\dfrac{3x-9}{x^2-6x+9}\times\dfrac{x^2+x-6}{2-x}\div(x+3)$. State the restr

Question

Core stretch Simplify $\dfrac{3x-9}{x^2-6x+9}\times\dfrac{x^2+x-6}{2-x}\div(x+3)$. State the restrictions on the original expression.

Accepted Answer

$- \dfrac{3}{x - 3}$ where $x - 3\ne0,\ x - 2\ne0,\ x + 3\ne0$

Complex factor cancellation