Answer:
The simplified expression is:
[tex]\frac{2(u + 7)}{(u- 2)} [/tex]
Step-by-step explanation:
We want to simplify:
[tex] \frac{2 {u}^{2} - 20u + 42}{ {u}^{2} - 5u + 6} [/tex]
We factor the numerator and the denominator to get:
[tex] \frac{2(u - 3)(u + 7)}{(u- 2)(u- 3)} [/tex]
Cancel out u-2 which is common to the numerator and the denominator yo get:
[tex]\frac{2(u + 7)}{(u- 2)} [/tex]
