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:

`(x^2-4x+3)/(x^2+x-12)`

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

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

Thus, option C is correct.