The equivalent rational expressions with denominator (2u - 3)(x + 1)(u - 4);
[tex]\frac{5}{(2u - 3)(u + 1)} , \frac{3u}{(2u-3)(u-4)}[/tex]
We want to rewrite the rational expression;
5/(2u² - u - 3), 3u/(2u² - 11u + 12)
Now, the denominator 2u² - u - 3;
From online factorization calculator, the factors of 2u² - u - 3 are;
(2u - 3) and (u + 1)
Similarly, the denominator (2u² - 11u + 12);
From online factorization calculator, the factors of (2u² - 11u + 12) are;
(2u - 3) and (u - 4)
Thus, our expressions are now;
[tex]\frac{5}{(2u - 3)(u + 1)}, \frac{3u}{(2u-3)(u-4)}[/tex]
Read more at;https://brainly.com/question/1048182