Question

Which of the following is equal to the rational expression below when x≠2 or
9?
4(x-2)
(x-2)(x-9)

Answer 1

The expression equivalent to the given expression is $\frac{4}{x-9}$

Rational expressions

This are expressions written as a ratio of two expressions. Given the rational expression

$f(x) = \frac{4(x-2)}{(x-2)(x-9)}$

Since (x-2) is common in both numerator and denominator, they wil cancel out to have the function below;

$f(x) = \frac{4(x-2)}{(x-2)(x-9)}=\frac{4}{x-9}$

Hence the expression equivalent to the given expression is $\frac{4}{x-9}$

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