Question

Which of the following is equal to the rational expression below when $x$ is not equal to $2$ or $9$?

$\frac{4\left(x-2\right)}{\left(x-2\right)\left(x-9\right)}$

• A. $\frac{4}{\left(x-9\right)}$
• B. $\frac{1}{x-2}$
• C. $\frac{1}{x-9}$
• D. $\frac{4}{x-2}$

Answer 1

The correct option is A

$\frac{4}{\left(x-9\right)}$

Explanation for the correct option.

Given,

$\frac{4\left(x-2\right)}{\left(x-2\right)\left(x-9\right)}$

We can write it as

$=\frac{4}{x-9}$ [as $\left(x-2\right)$ will be canceled from numerator and denominator]

Hence, option (A) is correct.