Question

(x-3) / (x-5) ( x-3) then I can always cancel x-3 assuming x≠3

• A. True
• B. False

Answer 1

Answer: (B)

False

Answer 2

The expression $\frac{x-3}{(x-5)(x-3)}$ is undefined when $x=5$. Although the assumption $x \neq 3$ allows cancellation of the $(x-3)$ term, the expression remains undefined at $x=5$. Therefore, cancellation is not always possible under the given assumption.