Question

Which of the following is equal to the rational expression when X equals -4 or three

Answer 1

To find:

The equivalent expression to the given expression.

Solution:

The given expression is:

$\frac{x^2-4x+3}{x^2+x-12}$

Factorise the numerator and the denominator as follows and cancel out the common factors:

$\begin{gathered} \frac{x^2-4x+3}{x^2+x-12}=\frac{(x-1)(x-3)}{(x-3)(x+4)} \\ =\frac{(x-1)}{(x+4)} \end{gathered}$

Thus, option C is correct.